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Title: FREDHOLM THEORY IN BANACH SPACES
By: Anthony Francis Ruston, B. Bollobas, W. Fulton
Format: Paperback

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ISBN 10: 0521604931
ISBN 13: 9780521604932
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 17 April, 2004
Series: Cambridge Tracts in Mathematics No. 86
Pages: 304
Description: Presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind.
Synopsis: In this tract, Dr Ruston presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind. Much of the presentation is based on research carried out over the last twenty-five years and has never appeared in book form before. Dr Ruston begins with the construction for operators of finite rank, using Fredholm's original method as a guide. He then considers formulae that have structure similar to those obtained by Fredholm, using, and developing further, the relationship with Riesz theory. In particular, he obtains bases for the finite-dimensional subspaces figuring in the Riesz theory. Finally he returns to the study of specific constructions for various classes of operators. Dr Ruston has made every effort to keep the presentation as elementary as possible, using arguments that do not require a very advanced background. Thus the book can be read with profit by graduate students as well as specialists working in the general area of functional analysis and its applications.
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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ALGEBRAIC L-THEORY AND TOPOLOGICAL MANIFOLDS (HB)
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AN INTRODUCTION TO HOMOLOGICAL ALGEBRA (PB)
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ANALYSIS ON FRACTALS (HB)
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ASYMPTOTIC EXPANSIONS (PB)
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AUTOMORPHIC FORMS AND REPRESENTATIONS (PB)
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BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES (HB)
CALCULUS OF VARIATIONS (HB)
CELLULAR STRUCTURES IN TOPOLOGY (HB)
CLIFFORD ALGEBRAS AND DIRAC OPERATORS IN HARMONIC ANALYSIS (HB)
CLIFFORD ALGEBRAS AND THE CLASSICAL GROUPS (HB)
COHEN-MACAULAY RINGS (PB)
COHOMOLOGY OF DRINFELD MODULAR VARIETIES, PART 2, AUTOMORPHIC FORMS, TRACE FORMULAS AND LANGLANDS CORRESPONDENCE (HB)
COMPLETENESS AND BASIS PROPERTIES OF SETS OF SPECIAL FUNCTIONS (PB)
CONTINUUM PERCOLATION (HB)
DERIVATION AND INTEGRATION (HB)
DESIGNS AND THEIR CODES (HB)
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DUALITY AND PERTURBATION METHODS IN CRITICAL POINT THEORY (HB)
DUALITY IN ANALYTIC NUMBER THEORY (HB)
DYNAMICAL SYSTEMS AND SEMISIMPLE GROUPS (HB)
ENDS OF COMPLEXES (HB)
ERGODIC THEORY (PB)
FINITE FREE RESOLUTIONS (PB)
FINITE GROUP THEORY (HB)
FINITE PACKING AND COVERING (HB)
FOURIER INTEGRALS IN CLASSICAL ANALYSIS (HB)
FREDHOLM THEORY IN BANACH SPACES
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GENERAL IRREDUCIBLE MARKOV CHAINS AND NON-NEGATIVE OPERATORS (PB)
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GEOMETRY OF SETS AND MEASURES IN EUCLIDEAN SPACES (PB)
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GRAPH THEORY AND COMBINATORICS 1988 (PB)
GROUPS ACTING ON GRAPHS (HB)
GROUPS AS GALOIS GROUPS (HB)
HARMONIC MAPPINGS IN THE PLANE (HB)
HODGE THEORY AND COMPLEX ALGEBRAIC GEOMETRY II: VOLUME 2 (HB)
HOPF ALGEBRAS (PB)
HYPERBOLICITY AND SENSITIVE CHAOTIC DYNAMICS AT HOMOCLINIC BIFURCATIONS (PB)
IDEAL THEORY (PB)
INFINITE ELECTRICAL NETWORKS (HB)
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INTRODUCTION TO ANALYTIC AND PROBABILISTIC NUMBER THEORY (HB)
INTRODUCTION TO HIGHER-ORDER CATEGORICAL LOGIC (PB)
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INVARIANTS OF QUADRATIC DIFFERENTIAL FORMS (PB)
LECTURES IN LOGIC AND SET THEORY: VOLUME 1, MATHEMATICAL LOGIC (HB)
LECTURES IN LOGIC AND SET THEORY: VOLUME 2, SET THEORY (HB)
LECTURES ON VECTOR BUNDLES (HB)
LOCAL COHOMOLOGY (HB)
LOCAL REPRESENTATION THEORY (PB)
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RANDOM FRAGMENTATION AND COAGULATION PROCESSES (HB)
RANDOM GRAPHS (HB)
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REAL ANALYSIS AND PROBABILITY (HB)
REFLECTION GROUPS AND COXETER GROUPS (PB)
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REPRESENTATIONS AND COHOMOLOGY: VOLUME 1, BASIC REPRESENTATION THEORY OF FINITE GROUPS AND ASSOCIATIVE ALGEBRAS (HB)
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