Paperback. Condition: new. Paperback. This book addresses the theory of compact operators, a fundamental class of linear operators that occupies a central place in functional analysis and plays a crucial role in establishing key results across various branches of modern mathematics.The work is organized into three main chapters. The first chapter lays the functional analytic foundation by presenting a rigorous treatment of Hilbert spaces, covering their essential properties, as well as the notions of orthogonality and orthonormality. The second chapter is devoted to the study of bounded linear operators on Hilbert spaces, examining their fundamental theorems and properties, with particular attention to adjoint operators, including their definitions and characterizations. The third chapter constitutes the core of this book, providing a comprehensive and self-contained exposition of compact operators, their structural properties, spectral theory, functional calculus, and the most significant theorems associated with them, including the Fredholm theorem and the Stone-Weierstrass theorem. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9786209996375

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Spectral Theory and Functional Calculus of Compact Operators

Fatma Zohra Daoud

Published by LAP LAMBERT Academic Publishing Mai 2026, 2026

ISBN 10: 620999637X ISBN 13: 9786209996375

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware 80 pp. Englisch. Seller Inventory # 9786209996375

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Spectral Theory and Functional Calculus of Compact Operators (Paperback)

Fatma Zohra Daoud

Published by LAP Lambert Academic Publishing, 2026

ISBN 10: 620999637X ISBN 13: 9786209996375

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Paperback. Condition: new. Paperback. This book addresses the theory of compact operators, a fundamental class of linear operators that occupies a central place in functional analysis and plays a crucial role in establishing key results across various branches of modern mathematics.The work is organized into three main chapters. The first chapter lays the functional analytic foundation by presenting a rigorous treatment of Hilbert spaces, covering their essential properties, as well as the notions of orthogonality and orthonormality. The second chapter is devoted to the study of bounded linear operators on Hilbert spaces, examining their fundamental theorems and properties, with particular attention to adjoint operators, including their definitions and characterizations. The third chapter constitutes the core of this book, providing a comprehensive and self-contained exposition of compact operators, their structural properties, spectral theory, functional calculus, and the most significant theorems associated with them, including the Fredholm theorem and the Stone-Weierstrass theorem. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9786209996375

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