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MARC 21

A Primer on Spectral Theory
Tag Description
020$a9781461230489
082$a515
099$aOnline resource: Springer
100$aAupetit, Bernard.$d1941-
245$aA Primer on Spectral Theory$h[EBook]$cby Bernard Aupetit.
260$aNew York, NY$bSpringer$c1991.
300$aXII, 193 pages$bonline resource.
336$atext
338$aonline resource
440$aUniversitext,$x0172-5939
505$aI. 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.
538$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
710$aSpringerLink (Online service)
830$aUniversitext,
856$uhttp://dx.doi.org/10.1007/978-1-4612-3048-9
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