Graduate studies in mathematics· 2018· Book chapter
Principles of functional analysis
- 591citations
- 2018year
Short summary
This abstract outlines the foundational concepts and key theorems covered in a comprehensive text on functional analysis.
AI-generated from the title and abstract; the full text is not read.
Key points
- Covers fundamental concepts like duality and linear operators.
- Explores advanced topics including spectral theory and Banach algebras.
- Includes specialized areas like Fredholm and Riesz theories.
- Features practical examples, applications, and a glossary.
AI-generated from the title and abstract; the full text is not read.
Abstract
Basic notions Duality Linear operators The Riesz theory for compact operators Fredholm operators Spectral theory Unbounded operators Reflexive Banach spaces Banach algebras Semigroups Hilbert space Bilinear forms Selfadjoint operators Measures of operators Examples and applications Glossary Major Theorems Bibliography Index.
The authors' abstract, as published at the source. Graduate studies in mathematics, 2018 · DOI ↗
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Field: Mathematical Physics
Mathematical PhysicsMathematics