Billy James Pettis (1913 – 14 April 1979), was an American
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
, known for his contributions to
functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. Inner product space#Definition, inner product, Norm (mathematics)#Defini ...
.
See also
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Dunford–Pettis property
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Dunford–Pettis theorem
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Milman–Pettis theorem
In mathematics, the Milman–Pettis theorem states that every uniformly convex space, uniformly convex Banach space is reflexive space, reflexive.
The theorem was proved independently by David Milman, D. Milman (1938) and B. J. Pettis (1939). Shiz ...
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Orlicz–Pettis theorem A theorem in functional analysis concerning convergent series (Orlicz) or, equivalently, countable additivity of measures (Pettis) with values in abstract spaces.
Let X be a Hausdorff locally convex topological vector space with dual X^*. A ser ...
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Pettis integral In mathematics, the Pettis integral or Gelfand–Pettis integral, named after Israel Gelfand, Israel M. Gelfand and Billy James Pettis, extends the definition of the Lebesgue integral to vector-valued functions on a measure space, by exploiting ...
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Pettis theorem
References
*Graves, William H.; Davis, Robert L.; Wright, Fred B., ''Introduction''. In: Proceedings of the Conference on Integration, Topology, and Geometry in Linear Spaces (Univ. North Carolina, Chapel Hill, N.C., 1979), pp. vii—ix, Contemporary Mathematics 2, Amer. Math. Soc., Providence, R.I., 1980. (This is an introduction to the collection of papers dedicated to the memory of B. J. Pettis.)
External links
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A Guide to the B. J. Pettis Papers, 1938-1980
1979 deaths
20th-century American mathematicians
1913 births
{{US-mathematician-stub