Geometry of Normed Linear Spaces by Robert G. Bartle
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About this book :-
Geometry of Normed Linear Spaces written by
Robert G. Bartle
These 17 papers result from a 1983 conference held to honor Professor Mahlon Marsh Day upon his retirement from the University of Illinois. Each of the main speakers was invited to take some aspect of Day's pioneering work as a starting point: he was the first American mathematician to study normed spaces from a geometric standpoint and, for a number of years, pioneered American research on the structure of Banach spaces. The material is aimed at researchers and graduate students in functional analysis. Many of the articles are expository and are written for the reader with only a basic background in the theory of normed linear spaces
(Robert G. Bartle)
Book Detail :-
Title: Geometry of Normed Linear Spaces
Edition:
Author(s): Robert G. Bartle
Publisher: Amer Mathematical Society
Series: Contemporary Mathematics 052
Year: 1986
Pages: 186
Type: PDF
Language: English
ISBN: 0-8218-5057-1,978-0-8218-5057-2,81-1975-763-7,13-1962-655-6,19-1968-482-4,78-1955-516-5
Country: US
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About Author :-
Author Robert Gardner Bartle (1927–2003) was an American mathematician. He was specializing in real analysis. He is known for writing the popular textbooks The Elements of Real Analysis (1964), The Elements of Integration (1966), and Introduction to Real Analysis (2011) published by John Wiley & Sons.
Bartle was born in Kansas City, Missouri, and was the son of Glenn G. Bartle and Wanda M. Bartle. He was married to Doris Sponenberg Bartle (born 1927) from 1952 to 1982 and they had two sons, James A. Bartle (born 1955) and John R. Bartle (born 1958). He was on the faculty of the Department of Mathematics at the University of Illinois from 1955 to 1990.
Bartle was Executive Editor of Mathematical Reviews from 1976 to 1978 and from 1986 to 1990. From 1990 to 1999 he taught at Eastern Michigan University. In 1997, he earned a writing award from the Mathematical Association of America for his paper "Return to the Riemann Integral".[1]
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Book Contents :-
Geometry of Normed Linear Spaces written by
Robert G. Bartle
cover the following topics.
Finite Dimensional decompositions in Baanch Spaces, P. G. Casazza
Some theorems on the Geometry of Banach spaces arising from study of invariant means by Edmond E. Granirer
The Radon Nikodym and Krein Milman properties for convex sets, Robert C. James
The metric linear spaces Lp for 0 < p < 1, N. J. Kalton
The unconditional basic sequence problem, Haskell, P. Rosenthal
A lemma on matrices and its applications, Piotr Antosik
Applications of geometry of infinte dimensional spaces to vector measures, R. G Bilyeu and P. W. Lewis
Minimax theorems without convexity by M. A. Geraghty and Bor-Luh Lin
Approximate compactness in Kadec-Klee Spaces, Robert E. Messinson
Gul ko s proof of the Amir Lindenstrauss theorem, I. Namioka and R. P. Wheeler
Continous selections of complemented subspaces, Horacio Porta and Lazaro Recht
Exposed points and the Radon-Nikodym property, Elias Saab
On complemented copies of Co in injective tensor products Elias Saab
A note on girth and isomorphic classification of normed spaces, Juan Jorge Schaffer
Rotundity adn extremity n Lp(Xi) and Lp(u,X), Mark A. Smith
Orthogonality and Linear homonorphisms in Banach lattices, K. Sundaresam and S. Swaminathan
DaySong, Bruce Reznick
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