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Robert Phelps, the Glossary

Robert Ralph Phelps (March 22, 1926 – January 4, 2013) was an American mathematician who was known for his contributions to analysis, particularly to functional analysis and measure theory.^[1]

29 relations: American Mathematical Society, Banach space, Bishop–Phelps theorem, Calculus of variations, California, Carabiner, Choquet theory, Differentiable function, Errett Bishop, Functional analysis, Harmonic analysis, Ivar Ekeland, John Rainwater, Joram Lindenstrauss, Locally convex topological vector space, Mathematical analysis, Mathematical optimization, Measure (mathematics), Operator theory, Piton, R. Tyrrell Rockafellar, Reflexive space, Shangri-La, Top rope climbing, University College London, University of Washington, Variational principle, Victor Klee, Washington (state).
Measure theorists
Variational analysts

American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

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Banach space

In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space.

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Bishop–Phelps theorem

In mathematics, the Bishop–Phelps theorem is a theorem about the topological properties of Banach spaces named after Errett Bishop and Robert Phelps, who published its proof in 1961.

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Calculus of variations

The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers.

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California

California is a state in the Western United States, lying on the American Pacific Coast.

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Carabiner

A carabiner or karabiner, often shortened to biner or to crab, colloquially known as a (climbing) clip, is a specialized type of shackle, a metal loop with a spring-loaded gate used to quickly and reversibly connect components, most notably in safety-critical systems.

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Choquet theory

In mathematics, Choquet theory, named after Gustave Choquet, is an area of functional analysis and convex analysis concerned with measures which have support on the extreme points of a convex set C. Roughly speaking, every vector of C should appear as a weighted average of extreme points, a concept made more precise by generalizing the notion of weighted average from a convex combination to an integral taken over the set E of extreme points.

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Differentiable function

In mathematics, a differentiable function of one real variable is a function whose derivative exists at each point in its domain.

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Errett Bishop

Errett Albert Bishop (July 14, 1928 – April 14, 1983) was an American mathematician known for his work on analysis. Robert Phelps and Errett Bishop are functional analysts.

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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 (for example, inner product, norm, or topology) and the linear functions defined on these spaces and suitably respecting these structures.

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Harmonic analysis

Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency.

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Ivar Ekeland

Ivar I. Ekeland (born 2 July 1944, Paris) is a French mathematician of Norwegian descent. Robert Phelps and Ivar Ekeland are functional analysts and variational analysts.

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John Rainwater

The fictitious mathematician John Rainwater was created as a student prank but has become known as the author of important results in functional analysis. Robert Phelps and John Rainwater are functional analysts and university of Washington faculty.

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Joram Lindenstrauss

Joram Lindenstrauss (יורם לינדנשטראוס) (October 28, 1936 – April 29, 2012) was an Israeli mathematician working in functional analysis. Robert Phelps and Joram Lindenstrauss are functional analysts.

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Locally convex topological vector space

In functional analysis and related areas of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces (TVS) that generalize normed spaces.

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Mathematical analysis

Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions.

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Mathematical optimization

Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criteria, from some set of available alternatives.

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Measure (mathematics)

In mathematics, the concept of a measure is a generalization and formalization of geometrical measures (length, area, volume) and other common notions, such as magnitude, mass, and probability of events.

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Operator theory

In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators.

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Piton

A piton (also called pin or peg) in big wall climbing and in aid climbing is a metal spike (usually steel) that is driven into a crack or seam in the climbing surface using a climbing hammer, and which acts as an anchor for protecting the climber from falling or to assist progress in aid climbing.

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R. Tyrrell Rockafellar

Ralph Tyrrell Rockafellar (born February 10, 1935) is an American mathematician and one of the leading scholars in optimization theory and related fields of analysis and combinatorics. Robert Phelps and r. Tyrrell Rockafellar are university of Washington faculty and variational analysts.

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Reflexive space

In the area of mathematics known as functional analysis, a reflexive space is a locally convex topological vector space for which the canonical evaluation map from X into its bidual (which is the strong dual of the strong dual of X) is a homeomorphism (or equivalently, a TVS isomorphism).

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Shangri-La

Shangri-La is a fictional place in Tibet's Kunlun Mountains, Uses the spelling 'Kuen-Lun'.

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Top rope climbing

Top rope climbing (or top roping) is a form of rock climbing where the climber is securely attached to a climbing rope that runs through a fixed anchor at the top of the climbing route, and back down to the belayer (or "second") at the base of the climb.

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University College London

University College London (branded as UCL) is a public research university in London, England.

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University of Washington

The University of Washington (UW and informally U-Dub or U Dub) is a public research university in Seattle, Washington, United States.

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Variational principle

In science and especially in mathematical studies, a variational principle is one that enables a problem to be solved using calculus of variations, which concerns finding functions that optimize the values of quantities that depend on those functions.

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Victor Klee

Victor LaRue Klee, Jr. (September 18, 1925 – August 17, 2007) was a mathematician specialising in convex sets, functional analysis, analysis of algorithms, optimization, and combinatorics. Robert Phelps and Victor Klee are university of Washington faculty.

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Washington (state)

Washington, officially the State of Washington, is the westernmost state in the Pacific Northwest region of the United States.

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References

[1] https://en.wikipedia.org/wiki/Robert_Phelps

Also known as Phelps, Robert, Robert R. Phelps, Robert Ralph Phelps.