Invertibility and Singularity for Bounded Linear Operators

Nonfiction, Science & Nature, Mathematics, Functional Analysis
Cover of the book Invertibility and Singularity for Bounded Linear Operators by Robin Harte, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Robin Harte ISBN: 9780486817880
Publisher: Dover Publications Publication: November 16, 2016
Imprint: Dover Publications Language: English
Author: Robin Harte
ISBN: 9780486817880
Publisher: Dover Publications
Publication: November 16, 2016
Imprint: Dover Publications
Language: English

This introduction to functional analysis focuses on the types of singularity that prevent an operator from being invertible. The presentation is based on the open mapping theorem, Hahn-Banach theorem, dual space construction, enlargement of normed space, and Liouville's theorem. Suitable for advanced undergraduate and graduate courses in functional analysis, this volume is also a valuable resource for researchers in Fredholm theory, Banach algebras, and multiparameter spectral theory.
The treatment develops the theory of open and almost open operators between incomplete spaces. It builds the enlargement of a normed space and of a bounded operator and sets up an elementary algebraic framework for Fredholm theory. The approach extends from the definition of a normed space to the fringe of modern multiparameter spectral theory and concludes with a discussion of the varieties of joint spectrum. This edition contains a brief new Prologue by author Robin Harte as well as his lengthy new Epilogue, "Residual Quotients and the Taylor Spectrum."
Dover republication of the edition published by Marcel Dekker, Inc., New York, 1988.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This introduction to functional analysis focuses on the types of singularity that prevent an operator from being invertible. The presentation is based on the open mapping theorem, Hahn-Banach theorem, dual space construction, enlargement of normed space, and Liouville's theorem. Suitable for advanced undergraduate and graduate courses in functional analysis, this volume is also a valuable resource for researchers in Fredholm theory, Banach algebras, and multiparameter spectral theory.
The treatment develops the theory of open and almost open operators between incomplete spaces. It builds the enlargement of a normed space and of a bounded operator and sets up an elementary algebraic framework for Fredholm theory. The approach extends from the definition of a normed space to the fringe of modern multiparameter spectral theory and concludes with a discussion of the varieties of joint spectrum. This edition contains a brief new Prologue by author Robin Harte as well as his lengthy new Epilogue, "Residual Quotients and the Taylor Spectrum."
Dover republication of the edition published by Marcel Dekker, Inc., New York, 1988.

More books from Dover Publications

Cover of the book Early Poems by Robin Harte
Cover of the book The Specificity of Serological Reactions by Robin Harte
Cover of the book Ingenious Mathematical Problems and Methods by Robin Harte
Cover of the book Norby's Other Secret by Robin Harte
Cover of the book On Studying Singing by Robin Harte
Cover of the book Microhydrodynamics by Robin Harte
Cover of the book Games, Theory and Applications by Robin Harte
Cover of the book Fifty Figure Drawings by Robin Harte
Cover of the book Tulips & Chimneys by Robin Harte
Cover of the book The Travels of Sir John Mandeville by Robin Harte
Cover of the book Egyptian Hieroglyphics by Robin Harte
Cover of the book Animals by Robin Harte
Cover of the book Complete Guide to Watercolor Painting by Robin Harte
Cover of the book How to Work in Beveled Glass by Robin Harte
Cover of the book Frédéric Chopin: The Piano Concertos Arranged for Two Pianos by Robin Harte
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy