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Catalogue Information
Field name	Details
Dewey Class	515
Title	A Course in Functional Analysis ([EBook] /) / by John B. Conway.
Author	Conway, John B.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York : : Imprint: Springer, , 1985.
Physical Details	XIV, 406 p. : online resource.
Series	Graduate texts in mathematics 0072-5285 ; ; 96
ISBN	9781475738285
Summary Note	Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with a topology or two (or more). Here the paths diverge in the choice of how that topology is defined and in whether to study the geometry of the linear space, or the linear operators on the space, or both. In this book I have tried to follow the common thread rather than any special topic. I have included some topics that a few years ago might have been thought of as specialized but which impress me as interesting and basic. Near the end of this work I gave into my natural temptation and included some operator theory that, though basic for operator theory, might be considered specialized by some functional analysts.:
Contents note	I Hilbert Spaces -- II Operators on Hilbert Space -- III Banach Spaces -- IV Locally Convex Spaces -- V Weak Topologies -- VI Linear Operators on a Banach Space -- VII Banach Algebras and Spectral Theory for Operators on a Banach Space -- VIII C*-Algebras -- IX Normal Operators on Hilbert Space -- X Unbounded Operators -- XI Fredholm Theory -- Appendix A Preliminaries -- §1. Linear Algebra -- §2. Topology -- List of Symbols.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4757-3828-5
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Authors: Conway, John B. . Corporate Authors: SpringerLink (Online service) . Series: Graduate texts in mathematics . GTM . Classification: 515 .

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A Course in Functional Analysis

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