eBook ISBN:  9780821876374 
Product Code:  CONM/52.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821876374 
Product Code:  CONM/52.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 52; 1986; 171 ppMSC: Primary 46
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.

Table of Contents

Articles

P. G. Casazza — Finitedimensional decompositions in Banach spaces [ MR 840692 ]

Edmond E. Granirer — Some theorems on the geometry of Banach spaces arising from the study of invariant means [ MR 840693 ]

Robert C. James — The RadonNikodým and KreĭnMilman properties for convex sets [ MR 840694 ]

N. J. Kalton — The metric linear spaces $L_p$ for $0<p<1$ [ MR 840695 ]

Haskell P. Rosenthal — The unconditional basic sequence problem [ MR 840696 ]

Piotr Antosik — A lemma on matrices and its applications [ MR 840697 ]

R. G. Bilyeu and P. W. Lewis — Applications of geometry of infinitedimensional spaces to vector measures [ MR 840698 ]

M. A. Geraghty and BorLuh Lin — Minimax theorems without convexity [ MR 840699 ]

Robert E. Megginson — Approximative compactness in KadecKlee spaces [ MR 840700 ]

I. Namioka and R. F. Wheeler — Gul′ko’s proof of the AmirLindenstrauss theorem [ MR 840701 ]

Horacio Porta and Lázaro Recht — Continuous selections of complemented subspaces [ MR 840702 ]

Elias Saab — Exposed points and the RadonNikodým property [ MR 840703 ]

Elias Saab and Paulette Saab — On complemented copies of $c_0$ in injective tensor products [ MR 840704 ]

Juan Jorge Schäffer — A note on girth and isomorphic classification of normed spaces [ MR 840705 ]

Mark A. Smith — Rotundity and extremity in $l^p(X_i)$ and $L^p(\mu ,X)$ [ MR 840706 ]

K. Sundaresan and S. Swaminathan — Orthogonality and linear homomorphisms in Banach lattices [ MR 840707 ]


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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.

Articles

P. G. Casazza — Finitedimensional decompositions in Banach spaces [ MR 840692 ]

Edmond E. Granirer — Some theorems on the geometry of Banach spaces arising from the study of invariant means [ MR 840693 ]

Robert C. James — The RadonNikodým and KreĭnMilman properties for convex sets [ MR 840694 ]

N. J. Kalton — The metric linear spaces $L_p$ for $0<p<1$ [ MR 840695 ]

Haskell P. Rosenthal — The unconditional basic sequence problem [ MR 840696 ]

Piotr Antosik — A lemma on matrices and its applications [ MR 840697 ]

R. G. Bilyeu and P. W. Lewis — Applications of geometry of infinitedimensional spaces to vector measures [ MR 840698 ]

M. A. Geraghty and BorLuh Lin — Minimax theorems without convexity [ MR 840699 ]

Robert E. Megginson — Approximative compactness in KadecKlee spaces [ MR 840700 ]

I. Namioka and R. F. Wheeler — Gul′ko’s proof of the AmirLindenstrauss theorem [ MR 840701 ]

Horacio Porta and Lázaro Recht — Continuous selections of complemented subspaces [ MR 840702 ]

Elias Saab — Exposed points and the RadonNikodým property [ MR 840703 ]

Elias Saab and Paulette Saab — On complemented copies of $c_0$ in injective tensor products [ MR 840704 ]

Juan Jorge Schäffer — A note on girth and isomorphic classification of normed spaces [ MR 840705 ]

Mark A. Smith — Rotundity and extremity in $l^p(X_i)$ and $L^p(\mu ,X)$ [ MR 840706 ]

K. Sundaresan and S. Swaminathan — Orthogonality and linear homomorphisms in Banach lattices [ MR 840707 ]