Spectral Theory and Functional Calculus of Compact Operators: DE - Softcover

Daoud, Fatma Zohra

Softcover

ISBN 10: 620999637X ISBN 13: 9786209996375

Verlag: LAP LAMBERT Academic Publishing, 2026

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Fatma Zohra Daoud - PhD student in Applied Mathematics, University of Laghouat.

Details zur Ausgabe

• Verlag: LAP LAMBERT Academic Publishing
• Erscheinungsdatum: 2026
• Sprache: Englisch
• ISBN 10: 620999637X
• ISBN 13: 9786209996375
• Einband: Taschenbuch
• Anzahl der Seiten: 80
• Kontakt zum Hersteller: Editions Muse; customerservice@vdm-vsg.de; ; Brivibas gatve 197; Riga; 1039; Lettland