Functional Analysis and Summability

ISBN-13: 9780367544492 / Angielski / Twarda / 2020 / 220 str.

P. N. Natarajan

Opis

In the Functional Analysis component of the book, Hahn-Banach theorem, Banach-Steinhaus theorem, Open mapping theorem, Closed graph theorem and Riesz representation theorem are highlighted. In the Summability component of the book, Silverman-Toeplitz theorem, Schur's theorem, Steinhaus theorem and Steinhaus type theorems are proved.

Spis treści

1. Some Basic Concepts in Functional Analysis. 2. Linear Transformations, Linear Functionals and Convexity. 3. Hahn-Banach Theorem. 4. Reflexivity. 5. Banach-Steinhaus Theorem. 6. Closed Graph Theorem and Open Mapping Theorem. 7. Hilbert Spaces. 8. Silverman-Toeplitz Theorem and Schur’s Theorem. 9. Steinhaus Type Theorem.