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Gerard Murphy (mathematician)
Gerard J. Murphy (November 1948 – 12 October 2006) MRIA was a prolific Irish mathematician. His textbooks are internationally acclaimed, and translated into different languages. He died from cancer in October 2006, at the age of 57. Research Gerard's research was in functional analysis. In recent times his research was on quantum groups and non-commutative geometry, subjects of importance both for mathematics and physics. He authored more than 70 original mathematical papers, singly or with colleagues in Ireland, Europe and North America. He will also be remembered for his bookC*-algebras and Operator Theory which was published in 1990 to worldwide acclaim. Gerard's principal interests were in the general theory of C*-algebras, the spectral and index theory of Toeplitz operators on Hardy spaces of ordered groups and bounded symmetric domains, and the C*-algebra approach to quantum groups.A detailed account of a research group that he was leading in Ireland is available ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gerard Murphy - Irish Professor
Gerard is a masculine forename of Proto-Germanic origin, variations of which exist in many Germanic and Romance languages. Like many other early Germanic names, it is dithematic, consisting of two meaningful constituents put together. In this case, those constituents are ''gari'' > ''ger-'' (meaning 'spear') and -''hard'' (meaning 'hard/strong/brave'). Common forms of the name are Gerard (English, Scottish, Irish, Dutch, Polish and Catalan); Gerrard (English, Scottish, Irish); Gerardo ( Italian, and Spanish); Geraldo ( Portuguese); Gherardo ( Italian); Gherardi (Northern Italian, now only a surname); Gérard (variant forms ''Girard'' and ''Guérard'', now only surnames, French); Gearóid ( Irish); Gerhardt and Gerhart/Gerhard/Gerhardus (German, Dutch, and Afrikaans); Gellért ( Hungarian); Gerardas (Lithuanian) and Gerards/Ģirts ( Latvian); Γεράρδης (Greece). A few abbreviated forms are Gerry and Jerry (English); Gerd (German) and Gert (Afrikaans and Dutch); Gerri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University College Cork
University College Cork – National University of Ireland, Cork (UCC) ( ga, Coláiste na hOllscoile Corcaigh) is a constituent university of the National University of Ireland, and located in Cork. The university was founded in 1845 as one of three Queen's Colleges located in Belfast, Cork, and Galway. It became University College, Cork, under the Irish Universities Act of 1908. The Universities Act 1997 renamed the university as National University of Ireland, Cork, and a Ministerial Order of 1998 renamed the university as University College Cork – National University of Ireland, Cork, though it continues to be almost universally known as University College Cork. Amongst other rankings and awards, the university was named Irish University of the Year by ''The Sunday Times'' on five occasions; most recently in 2017. In 2015, UCC was also named as top performing university by the European Commission funded U-Multirank system, based on obtaining the highest number of "A" sco ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Uniform Boundedness Principle
In mathematics, the uniform boundedness principle or Banach–Steinhaus theorem is one of the fundamental results in functional analysis. Together with the Hahn–Banach theorem and the open mapping theorem, it is considered one of the cornerstones of the field. In its basic form, it asserts that for a family of continuous linear operators (and thus bounded operators) whose domain is a Banach space, pointwise boundedness is equivalent to uniform boundedness in operator norm. The theorem was first published in 1927 by Stefan Banach and Hugo Steinhaus, but it was also proven independently by Hans Hahn. Theorem The completeness of X enables the following short proof, using the Baire category theorem. There are also simple proofs not using the Baire theorem . Corollaries The above corollary does claim that T_n converges to T in operator norm, that is, uniformly on bounded sets. However, since \left\ is bounded in operator norm, and the limit operator T is continuous ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hahn–Banach Theorem
The Hahn–Banach theorem is a central tool in functional analysis. It allows the extension of bounded linear functionals defined on a subspace of some vector space to the whole space, and it also shows that there are "enough" continuous linear functionals defined on every normed vector space to make the study of the dual space "interesting". Another version of the Hahn–Banach theorem is known as the Hahn–Banach separation theorem or the hyperplane separation theorem, and has numerous uses in convex geometry. History The theorem is named for the mathematicians Hans Hahn and Stefan Banach, who proved it independently in the late 1920s. The special case of the theorem for the space C[a, b] of continuous functions on an interval was proved earlier (in 1912) by Eduard Helly, and a more general extension theorem, the M. Riesz extension theorem, from which the Hahn–Banach theorem can be derived, was proved in 1923 by Marcel Riesz. The first Hahn–Banach theorem was proved by ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Point Set Topology
In mathematics, general topology is the branch of topology that deals with the basic Set theory, set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including differential topology, geometric topology, and algebraic topology. Another name for general topology is point-set topology. The fundamental concepts in point-set topology are ''continuity'', ''compactness'', and ''connectedness'': * Continuous functions, intuitively, take nearby points to nearby points. * Compact sets are those that can be covered by finitely many sets of arbitrarily small size. * Connected sets are sets that cannot be divided into two pieces that are far apart. The terms 'nearby', 'arbitrarily small', and 'far apart' can all be made precise by using the concept of open sets. If we change the definition of 'open set', we change what continuous functions, compact sets, and connected sets are. Each choice of definition for 'open set' is call ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Complex Analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and particularly quantum mechanics. By extension, use of complex analysis also has applications in engineering fields such as nuclear engineering, nuclear, aerospace engineering, aerospace, mechanical engineering, mechanical and electrical engineering. As a differentiable function of a complex variable is equal to its Taylor series (that is, it is Analyticity of holomorphic functions, analytic), complex analysis is particularly concerned with analytic functions of a complex variable (that is, holomorphic functions). History Complex analysis is one of the classical ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academic Press
Academic Press (AP) is an academic book publisher founded in 1941. It was acquired by Harcourt, Brace & World in 1969. Reed Elsevier bought Harcourt in 2000, and Academic Press is now an imprint of Elsevier. Academic Press publishes reference books, serials and online products in the subject areas of: * Communications engineering * Economics * Environmental science * Finance * Food science and nutrition * Geophysics * Life sciences * Mathematics and statistics * Neuroscience * Physical sciences * Psychology Well-known products include the ''Methods in Enzymology'' series and encyclopedias such as ''The International Encyclopedia of Public Health'' and the ''Encyclopedia of Neuroscience''. See also * Akademische Verlagsgesellschaft (AVG) — the German predecessor, founded in 1906 by Leo Jolowicz (1868–1940), the father of Walter Jolowicz Walter may refer to: People * Walter (name), both a surname and a given name * Little Walter, American blues harmonica player Marion Wa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Trevor West
Timothy Trevor West (8 May 1938 – 30 October 2012) was an Irish mathematician, academic and politician. Biography He was born on 8 May 1938 in County Cork, the eldest of four sons of Timothy Roberts West, headmaster of Midleton College, and Dorothy Trevor West (née McNeill). He was educated at Midleton College, and The High School, Dublin. West was a graduate of Trinity College Dublin (TCD), where he was elected a scholar, and of the University of Cambridge. In 1970 he was elected a Fellow of Trinity College Dublin and was also an associate professor of Mathematics, Junior Dean, and a great supporter of sport at Trinity. He was also a Member of the Royal Irish Academy. He subsequently was a Senior Fellow of TCD. On 19 November 1970, West was elected to Seanad Éireann, at a by-election for the Dublin University constituency caused by the death of Owen Sheehy-Skeffington. After his election, he established a reputation as one of the few liberal voices in the Seanad. He was ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Oregon
The University of Oregon (UO, U of O or Oregon) is a public research university in Eugene, Oregon. Founded in 1876, the institution is well known for its strong ties to the sports apparel and marketing firm Nike, Inc, and its co-founder, billionaire Phil Knight. UO is also known for serving as the filming location for the 1978 cult classic ''National Lampoon's Animal House''. UO's 295-acre campus is situated along the Willamette River. The school also has a satellite campus in Portland; a marine station, called the Oregon Institute of Marine Biology, in Charleston; and an observatory, called Pine Mountain Observatory, in Central Oregon. UO's colors are green and yellow. The University of Oregon is organized into nine colleges and schools: the College of Arts and Sciences, Charles H. Lundquist College of Business, College of Design, College of Education, Robert D. Clark Honors College, School of Journalism and Communication; School of Law; School of Music and Dance; and the Gra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of New Hampshire
The University of New Hampshire (UNH) is a public land-grant research university with its main campus in Durham, New Hampshire. It was founded and incorporated in 1866 as a land grant college in Hanover in connection with Dartmouth College, moved to Durham in 1893, and adopted its current name in 1923. The university's Durham campus comprises six colleges. A seventh college, the University of New Hampshire at Manchester, occupies the university's campus in Manchester. The University of New Hampshire School of Law is in Concord, the state's capital. The university is part of the University System of New Hampshire and is classified among "R1: Doctoral Universities – Very high research activity". , its combined campuses made UNH the largest state university system in the state of New Hampshire, with over 15,000 students. It was also the most expensive state-sponsored school in the United States for in-state students. History The Morrill Act of 1862 granted federal land ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dalhousie University
Dalhousie University (commonly known as Dal) is a large public research university in Nova Scotia Nova Scotia ( ; ; ) is one of the thirteen provinces and territories of Canada. It is one of the three Maritime provinces and one of the four Atlantic provinces. Nova Scotia is Latin for "New Scotland". Most of the population are native Eng ..., Canada, with three campuses in Halifax, a fourth in Bible Hill, Nova Scotia, Bible Hill, and a second medical school campus in Saint John, New Brunswick. Dalhousie offers more than 4,000 courses, and over 200 degree programs in 13 undergraduate, graduate, and professional faculties. The university is a member of the U15 Group of Canadian Research Universities, U15, a group of research-intensive universities in Canada. The institution was established as ''Dalhousie College'', a nonsectarian institution established in 1818 by the eponymous Lieutenant Governor of Nova Scotia, George Ramsay, 9th Earl of Dalhousie, with education reforme ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cambridge University
, mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Scholars of the University of Cambridge , type = Public research university , endowment = £7.121 billion (including colleges) , budget = £2.308 billion (excluding colleges) , chancellor = The Lord Sainsbury of Turville , vice_chancellor = Anthony Freeling , students = 24,450 (2020) , undergrad = 12,850 (2020) , postgrad = 11,600 (2020) , city = Cambridge , country = England , campus_type = , sporting_affiliations = The Sporting Blue , colours = Cambridge Blue , website = , logo = University of Cambridge logo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
