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Problems in Operator Theory

Charalambos D. Aliprantis

Includes complete solutions to the more than 600 exercises in the companion volume, "An Invitation to Operator Theory" (v. 50 in the AMS series "Graduate Studies in Mathematics"), also by Abramovich and Aliprantis.

Infinite Dimensional Analysis: A Hitchhiker’s Guide

Charalambos D. Aliprantis

This text was born out of an advanced mathematical economics seminar at Caltech in 1989-90.

Cones and Duality

Charalambos D. Aliprantis

With many exercises of varying degrees of difficulty, the book is suitable for graduate courses. Most of the new topics currently discussed in the book have their origins in problems from economics and finance.

Problems in Equilibrium Theory

Charalambos D. Aliprantis

This is the first book to teach the basic methods of proof and problem solving in General Equilibrium Theory at graduate level.

Solutions Manual for Games and Decision Making

Charalambos D. Aliprantis

This book is a fully self-contained treatment of almost everything that can be called decision theory, from classical optimization, often covered in courses in mathematical economics and management science, to modern game theory, the ...

Principles of Real Analysis

Charalambos D. Aliprantis

Topics are illustrated by many varied examples, and they provide clear connections between real analysis and functional analysis. * Gives a unique presentation of integration theory * Over 150 new exercises integrated throughout the text * ...

The Ricci Flow: Analytic aspects

Bennett Chow

... Representations of algebraic groups, 2003 Hiroyuki Yoshida, Absolute CM- periods, 2003 Charalambos D. Aliprantis and Owen Burkinshaw, Locally solid Riesz spaces with applications to economics, second edition, 2003 Graham Everest, ...

Morse Theoretic Aspects of P-Laplacian Type Operators

Kanishka Perera

... Representations of algebraic groups, 2003 Hiroyuki Yoshida, Absolute CM- periods, 2003 Charalambos D. Aliprantis and Owen Burkinshaw, Locally solid Riesz spaces with applications to economics, second edition, 2003 Graham Everest, ...

Problems in Real Analysis: A Workbook with Solutions

Charalambos D. Aliprantis

This volume aims to teach the basic methods of proof and problem-solving by presenting the complete solutions to over 600 problems that appear in the companion "Principles of Real Analysis", 3rd edition.

Positive Operators

Charalambos D. Aliprantis

H. H. Schaefer, Halbgeordnete lokalkonvexe Vektorräume, Math. Ann., Note I 135 (1958), 115–141, MR 21,5134; Note II 138(1959), 259–286, MR 21,5135; Note III 141(1960), 113–142, MR 22, 11265. 172. H. H. Schaefer, Weak convergence ...

Locally Solid Riesz Spaces with Applications to Economics

Charalambos D. Aliprantis

35.91967), 50–69. 120. H. H. Schaefer, Halbgeordnete lokalkonvexe Vektorräume, Math. Ann., Note I 135 (1958), 115–141; Note II 138 (1959), 259– 286; Note III 141 (1960), 113–142. 121. H. H. Schaefer, On the completeness of topological ...