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The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel. The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods, and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.
Spectral theory (Mathematics) --- Fredholm operators. --- Fredholm operators
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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.
Banach spaces. --- Fredholm equations. --- Fredholm operators.
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Analytic functions --- Fredholm operators --- Index theory (Mathematics) --- Von Neumann algebras
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Opérateurs linéaires --- Linear operators. --- Fredholm, Opérateurs de. --- Fredholm operators --- Equations integrales
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Operator theory --- 517.98 --- Differential equations, Nonlinear --- -Differential equations, Partial --- -Fredholm operators --- Homotopy groups --- #WWIS:ANAL --- Group theory --- Homotopy theory --- Operators, Fredholm --- Linear operators --- Partial differential equations --- Nonlinear differential equations --- Nonlinear theories --- Functional analysis and operator theory --- Numerical solutions --- Differential equations, Partial --- Fredholm operators. --- Homotopy groups. --- Numerical solutions. --- 517.98 Functional analysis and operator theory --- Fredholm, Opérateurs de --- Équations aux dérivées partielles --- Équations différentielles non linéaires --- Groupes d'homotopie --- Solutions numériques --- Fredholm operators --- Numerical analysis --- Fredholm, Opérateurs de. --- Groupes d'homotopie. --- Solutions numériques.
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Banach spaces --- Fredholm equations --- Fredholm operators --- Operators, Fredholm --- Linear operators --- Equations, Fredholm --- Integral equations --- Functions of complex variables --- Generalized spaces --- Topology
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Fredholm operators. --- Fredholm, Opérateurs de. --- Analyse fonctionnelle --- Functional analysis --- Opérateurs linéaires. --- Perturbation (mathématiques) --- Linear operators --- Perturbation (Mathematics) --- Fredholm, Opérateurs de. --- Opérateurs linéaires. --- Perturbation (mathématiques)
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Fredholm operators. --- Fredholm, Opérateurs de. --- Analyse fonctionnelle --- Functional analysis --- Opérateurs linéaires. --- Linear operators --- Fredholm, Opérateurs de. --- Opérateurs linéaires.
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Complex analysis --- Ordered algebraic structures --- Differential geometry. Global analysis --- Fredholm operators --- Compact operators --- Infinite matrices --- Spectral theory (Mathematics) --- Fredholm, Opérateurs de --- Opérateurs compacts --- Matrices infinies --- Spectre (Mathématiques) --- Fredholm operators. --- Compact operators. --- Infinite matrices. --- 51 <082.1> --- Mathematics--Series --- Fredholm, Opérateurs de --- Opérateurs compacts --- Spectre (Mathématiques) --- Functional analysis --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- Matrices, Infinite --- Matrices --- Operators, Fredholm --- Linear operators --- Compact transformations --- Completely continuous operators --- Operators, Compact --- Operators, Completely continuous --- Transformations, Compact --- Matrices.
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