Primer on Spectral Theory

AvBernard Aupetit

Häftad, Engelska, 1990

Del i serien Universitext

533 kr

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Produktinformation

Utgivningsdatum:1990-12-19
Mått:155 x 235 x 12 mm
Vikt:324 g
Format:Häftad
Språk:Engelska
Serie:Universitext
Antal sidor:193
Förlag:Springer-Verlag New York Inc.
ISBN:9780387973906

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Innehållsförteckning

I. Some Reminders of Functional Analysis.- II. Some Classes of Operators.- §1. Finite-Dimensional Operators.- §2. Bounded Linear Operators on a Banach Space.- §3. Bounded Linear Operator on a Hilbert Space.- III. Banach Algebras.- §1. Definition and Examples.- §2. Invertible Elements and Spectrum.- §3. Holomorphic Functional Calculus.- §4. Analytic Properties of the Spectrum.- IV. Representation Theory.- §1. Gelfand Theory for Commutative Banach Algebras.- §2. Representation Theory for Non-Commutative Banach Algebras.- V. Some Applications of Subharmonicity.- §1. Some Elementary Applications.- §2. Spectral Characterizations of Commutative Banach Algebras.- §3. Spectral Characterizations of the Radical.- §4. Spectral Characterizations of Finite-Dimensional Banach Algebras.- §5. Automatic Continuity for Banach Algebra Morphisms.- §6. Elements with Finite Spectrum.- §7. Inessential Elements.- VI. Representation of C?-algebras and the Spectral Theorem.- §1. Banach Algebras with Involution.- §2. C?-algebras.- §3. The Spectral Theorem.- §4. Applications.- VII. An Introduction to Analytic Multifunctions.- §1. Definitions and General Properties.- §2. The Oka-Nishino Theorem and Its Applications.- §3. Distribution of Values of Analytic Multifunctions.- §4. Conclusion.- §1. Subharmonic Functions and Capacity.- §2. Functions of Several Complex Variables.- References.- Author and Subject Index.

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