Designed for a one-year course in topological vector spaces, this text is geared toward advanced undergraduates and beginning graduate students of mathematics. The subjects involve properties employed by researchers in classical analysis, differential and integral equations, distributions, summability, and classical Banach and Frechét spaces. Optional problems with hints and references introduce non-locally convex spaces, Köthe-Toeplitz spaces, Banach algebra, sequentially barrelled spaces, and norming subspaces.Extensive introductory chapters cover metric ideas, Banach space, topological vector spaces, open mapping and closed graph theorems, and local convexity. Duality is the treatment's central theme, highlighted by a presentation of completeness theorems and special topics such as inductive limits, distributions, and weak compactness. More than 30 tables at the end of the book allow quick reference to theorems and counterexamples, and a rich selection of problems concludes each section.

Modern Methods in Topological Vector Spaces

Science & Math

Wilansky, Albert

Mathematics

McGraw-Hill,Inc.

Summability is an extremely fruitful area for the application of functional analysis; this volume could be used as a source for such applications. Those parts of summability which only have "hard" (classical) proofs are omitted; the theorems given all have "soft" (functional analytic) proofs.

Summability Through Functional Analysis

North-Holland

Appropriate for both students and professionals, this volume starts with the first principles of topology and advances to general analysis. Three levels of examples and problems, ordered and numbered by degree of difficulty, illustrate important concepts. A 40-page appendix, featuring tables of theorems and counter examples, provides a valuable reference. From explorations of topological space, convergence, and separation axioms, the text proceeds to considerations of sup and weak topologies, products and quotients, compactness and compactification, and complete semimetric space. The concluding chapters explore metrization, topological groups, and function spaces. Each subject area is supplemented with examples, problems, and exercises that progress to increasingly rigorous levels. All examples and problems are classified as essential, optional, and advanced.

Topology for Analysis (Dover Books on Mathematics)

Dover Publications

Designed for a one-year course in topological vector spaces, this text is geared toward advanced undergraduates and beginning graduate students of mathematics. The subjects involve properties employed by researchers in classical analysis, differential and integral equations, distributions, summability, and classical Banach and Frechét spaces. Optional problems with hints and references introduce non-locally convex spaces, Köthe-Toeplitz spaces, Banach algebra, sequentially barrelled spaces, and norming subspaces. Extensive introductory chapters cover metric ideas, Banach space, topological vector spaces, open mapping and closed graph theorems, and local convexity. Duality is the treatment's central theme, highlighted by a presentation of completeness theorems and special topics such as inductive limits, distributions, and weak compactness. More than 30 tables at the end of the book allow quick reference to theorems and counterexamples, and a rich selection of problems concludes each section.

Modern Methods in Topological Vector Spaces (Dover Books on Mathematics)

Dover `

Appropriate for both students and professionals, this volume starts with the first principles of topology and advances to general analysis. Three levels of examples and problems, ordered and numbered by degree of difficulty, illustrate important concepts. A 40-page appendix, featuring tables of theorems and counter examples, provides a valuable reference.From explorations of topological space, convergence, and separation axioms, the text proceeds to considerations of sup and weak topologies, products and quotients, compactness and compactification, and complete semimetric space. The concluding chapters explore metrization, topological groups, and function spaces. Each subject area is supplemented with examples, problems, and exercises that progress to increasingly rigorous levels. All examples and problems are classified as essential, optional, and advanced.

Topology for Analysis

Robert E. Krieger

Comparison of topologies.- Inductive limits.- Some properties of linear topological spaces.- FH and BH spaces.- Garling's completeness theorem.- Mixed topologies and two norm spaces.- Corelular and conull FK spaces.

Topics in Functional Analysis (Lecture Notes in Mathematics, 45)

Springer

See the best price to sell, buy, or rent books by Wilansky, Albert. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Wilansky, Albert

See the best price to sell, buy, or rent books by Wilansky, Albert. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Modern Methods in Topological Vector Spaces

Summability Through Functional Analysis

Topology for Analysis (Dover Books on Mathematics)

Modern Methods in Topological Vector Spaces (Dover Books on Mathematics)

Topology for Analysis (Dover Books on Mathematics)

Topology for Analysis

Topics in Functional Analysis (Lecture Notes in Mathematics, 45)