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Riesz Projections and Functional Calculus

Israel Gohberg, Seymour Goldberg, M. A. Kaashoek

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Abstract

This chapter is concerned with the part of the spectral theory which is applicable to all bounded linear operators. It contains theorems on decomposition of operators corresponding to separated parts of the spectrum, the general version of the functional calculus and applications to operator and differential equations and to stability problems. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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What this paper is about

This chapter is concerned with the part of the spectral theory which is applicable to all bounded linear operators. It contains theorems on decomposition of operators corresponding to separated parts of the spectrum, the general version of the functional calculus and applications to operator and differential equations and to stability problems. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Available abstract

This chapter is concerned with the part of the spectral theory which is applicable to all bounded linear operators. It contains theorems on decomposition of operators corresponding to separated parts of the spectrum, the general version of the functional calculus and applications to operator and differential equations and to stability problems. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Key concepts: Functional calculus, Mathematics, Calculus (dental), Differential calculus, Operator theory, Operator (biology), Bounded function, Spectrum (functional analysis)

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