Age, Biography and Wiki

Robert Phelps was born on 22 March, 1926 in California, is a Robert Ralph Phelps was American. Discover Robert Phelps's Biography, Age, Height, Physical Stats, Dating/Affairs, Family and career updates. Learn How rich is he in this year and how he spends money? Also learn how he earned most of networth at the age of 87 years old?

Popular As N/A
Occupation N/A
Age 87 years old
Zodiac Sign Aries
Born 22 March, 1926
Birthday 22 March
Birthplace California
Date of death 2013
Died Place Washington state
Nationality United States

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Robert Phelps Height, Weight & Measurements

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Who Is Robert Phelps's Wife?

His wife is Elaine Phelps

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Robert Phelps Net Worth

His net worth has been growing significantly in 2023-2024. So, how much is Robert Phelps worth at the age of 87 years old? Robert Phelps’s income source is mostly from being a successful . He is from United States. We have estimated Robert Phelps's net worth, money, salary, income, and assets.

Net Worth in 2024 $1 Million - $5 Million
Salary in 2024 Under Review
Net Worth in 2023 Pending
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Timeline

1926

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.

1958

Phelps wrote his dissertation on subreflexive Banach spaces under the supervision of Victor Klee in 1958 at the University of Washington.

1961

In one field of its application, optimization theory, Ivar Ekeland began his survey of variational principles with this tribute: "The central result. The grandfather of it all is the celebrated 1961 theorem of Bishop and Phelps ... that the set of continuous linear functionals on a Banach space E which attain their maximum on a prescribed closed convex bounded subset X⊂E is norm-dense in E*. The crux of the proof lies in introducing a certain convex cone in E, associating with it a partial ordering, and applying to the latter a transfinite induction argument (Zorn's lemma)."

Phelps has written several advanced monographs, which have been republished.

1962

He was a professor of mathematics at the University of Washington from 1962 until his death.

Phelps was appointed to a position at Washington in 1962.

1966

His 1966 Lectures on Choquet theory was the first book to explain the theory of integral representations.

In these "instant classic" lectures, which were translated into Russian and other languages, and in his original research, Phelps helped to lead the development of Choquet theory and its applications, including probability, harmonic analysis, and approximation theory.

A revised and expanded version of his Lectures on Choquet theory was republished as.

Phelps has also contributed to nonlinear analysis, in particular writing notes and a monograph on differentiability and Banach-space theory.

In its preface, Phelps advised readers of the prerequisite "background in functional analysis": "the main rule is the separation theorem (a.k.a. [also known as] the Hahn–Banach theorem): Like the standard advice given in mountaineering classes (concerning the all-important bowline for tying oneself into the end of the climbing rope), you should be able to employ it using only one hand while standing blindfolded in a cold shower."

Phelps has been an avid rock-climber and mountaineer.

Following the trailblazing research of Asplund and Rockafellar, Phelps hammered into place the pitons, linked the carabiners, and threaded the top rope by which novices have ascended from the frozen tundras of topological vector spaces to the Shangri-La of Banach space theory.

1977

His University College, London (UCL) lectures on the Differentiability of convex functions on Banach spaces (1977–1978) were "widely distributed".

1983

Some of Phelps's results and exposition were developed in two books, Bourgin's Geometric aspects of convex sets with the Radon-Nikodým property (1983) and Giles's Convex analysis with application in the differentiation of convex functions (1982).

1989

Phelps avoided repeating the results previously reported in Bourgin and Giles when he published his own Convex functions, monotone operators and differentiability (1989), which reported new results and streamlined proofs of earlier results.

Now, the study of differentiability is a central concern in nonlinear functional analysis.

Phelps has published articles under the pseudonym of John Rainwater.

2012

In 2012 he became a fellow of the American Mathematical Society.

He was a convinced atheist.

With Errett Bishop, Phelps proved the Bishop–Phelps theorem, one of the most important results in functional analysis, with applications to operator theory, to harmonic analysis, to Choquet theory, and to variational analysis.