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Banach Spaces, Conjugate Spaces, Baire and Open Mapping Theorems, Auerbach Theorem, Riesz Lemma, Hahn-banach Theorem, Reflexivity, Weak Convergence Closed Graph Theorem, The Dual Spaces and C(k)*, Alaoglu And Krein-milman Theorems, Metrizability of Weak Topologies, Banach Algebras, Spectrum Ideal, Holomorphic Caculus C(x) Algebra, Abelian- Banach Algebras, Gelfand Mapping.

Faculty: Mathematics
|Undergraduate Studies |Graduate Studies

Pre-required courses

104276 - Introduction to Functional Analysis

• A first course in functional analysis - Shalit, Orr Moshe
• Functional analysis - Lax, Peter D.
• Functional analysis - Rudin, Walter
• Functional analysis : an introduction / Yuli Eidelman, Vitali Milman, Antonis Tsolomitis. - Eidelman, Yuli,
• Functional Analysis [electronic resource] : An Introduction - Eidelman, Yuli.
• Fundamentals of the theory of operator algebras - Kadison, Richard V.
• אנליזה פונקציונלית : מרחבי הילברט ובנך / מאת י' ווייס, י' לינדנשטראוס וע' פזי. - ווייס, בנימין,