Invertibility and singularity for bounded linear operators
Author(s)
Bibliographic Information
Invertibility and singularity for bounded linear operators
（Monographs and textbooks in pure and applied mathematics, 109）
M. Dekker, c1988
Available at / 52 libraries
-
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:515.7/H2512070077402
-
No Libraries matched.
- Remove all filters.
Search this Book/Journal
Note
Bibliography: p. 559-579
Includes index
Description and Table of Contents
Description
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.
by "Nielsen BookData"