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Focusing on spectral theory for bounded linear operators, this textbook covers essential topics such as the spectral theory and functional calculus for normal operators on Hilbert spaces, the Riesz-Dunford functional calculus for Banach-space operators, and Fredholm theory in both Banach and Hilbert spaces. It provides detailed proofs of all theorems with clarity, particularly for spectral theorems, ensuring students gain a comprehensive understanding of these critical concepts in functional analysis.
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Spectral Theory of Bounded Linear Operators, Carlos S. Kubrusly
- Lingua
- Pubblicato
- 2021
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- Titolo
- Spectral Theory of Bounded Linear Operators
- Lingua
- Inglese
- Autori
- Carlos S. Kubrusly
- Pubblicato
- 2021
- Formato
- In brossura
- Pagine
- 264
- ISBN13
- 9783030331511
- Serie
- Descrizione
- Focusing on spectral theory for bounded linear operators, this textbook covers essential topics such as the spectral theory and functional calculus for normal operators on Hilbert spaces, the Riesz-Dunford functional calculus for Banach-space operators, and Fredholm theory in both Banach and Hilbert spaces. It provides detailed proofs of all theorems with clarity, particularly for spectral theorems, ensuring students gain a comprehensive understanding of these critical concepts in functional analysis.