Lecture Notes on Functional Analysis
Autor Paolo Acquistapaceen Limba Engleză Hardback – 26 noi 2026
Key Features:
- Progressive pedagogical approach with clear explanations that bridge abstract mathematical concepts and concrete applications through numerous worked examples
- Comprehensive exercise program featuring problems at the end of each section with complete solutions provided at the end of every chapter for self-study and verification •
- Complete coverage spanning from foundational measure theory to advanced functional analysis topics, including Lp spaces, compact operators, and spectral theory in a single, cohesive volume
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Specificații
ISBN-13: 9781041292753
ISBN-10: 1041292759
Pagini: 240
Dimensiuni: 178 x 254 mm
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
ISBN-10: 1041292759
Pagini: 240
Dimensiuni: 178 x 254 mm
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Public țintă
Postgraduate and Undergraduate AdvancedCuprins
1. Lebesgue Measure. 2. Measures. 3. Measurable functions. 4. The Integral. 5. Product Measures. 6. Differentiation. 7. Banach Spaces. 8. Hilbert Spaces. 9. L^p Spaces. 10. Linear Operators 11. Spectral Theory.
Notă biografică
Paolo Acquistapace is an associate professor of Mathematical Analysis at the University of Pisa. For more than forty years he has worked on differential equations, functional analysis and applied problems. He taught several different courses for computer science, biology, geology, mathematics, physics, engineering students, developing a large educational experience.
He taught the course of “Istituzioni di analisi matematica” for several years, researching the most effective pedagogical approach to functional analysis. Retired since 2021, Paolo Acquistapace continues his studies in functional analysis, mainly focusing on its applications to abstract control theory.
He taught the course of “Istituzioni di analisi matematica” for several years, researching the most effective pedagogical approach to functional analysis. Retired since 2021, Paolo Acquistapace continues his studies in functional analysis, mainly focusing on its applications to abstract control theory.
Descriere
Provides a rigorous yet accessible introduction to functional analysis, guiding readers from elementary measure theory through advanced spectral theory.