**Basic Analysis Gently Done: Topological Vector Spaces**

by Ivan F. Wilde

**Publisher**: King's College, London 2010**Number of pages**: 129

**Description**:

These notes are based on lectures given at King's College London (as part of the Mathematics MSc program). The approach here is to discuss topological vector spaces - with normed spaces considered as special cases. Contents: Topological Spaces; Nets; Product Spaces; Separation; Vector Spaces; Topological Vector Spaces; Locally Convex Topological Vector Spaces; Banach Spaces; The Dual Space of a Normed Space; Frechet Spaces.

Download or read it online for free here:

**Read online**

(online reading)

## Similar books

**Jordan Operator Algebras**

by

**Harald Hanche-Olsen, Erling StÃ¸rmer**-

**Pitman**

Introduction to Jordan algebras of operators on Hilbert spaces and their abstract counterparts. It develops the theory of Jordan operator algebras to a point from which the theory of C*- and von Neumann algebras can be generalized to Jordan algebras.

(

**8882**views)

**Functional Analysis with Applications**

by

**Palle Jorgensen, Feng Tian**-

**arXiv**

This book at the beginning graduate level will help students with primary interests elsewhere to acquire a facility with tools of a functional analytic flavor, say in harmonic analysis, numerical analysis, stochastic processes, or in physics.

(

**5523**views)

**Spectral Theory**

by

**Leif Mejlbro**-

**BookBoon**

Spectral Theory - Functional Analysis Examples. Contents: Spectrum and resolvent; The adjoint of a bounded operator; Self adjoint operator; Isometric operators; Unitary and normal operators; Positive operators and projections; Compact operators.

(

**7911**views)

**C*-algebras**

by

**John Erdos**-

**King's College, London**

These notes form an introductory account of C*-algebras. Some results on more general commutative Banach algebras, whose proofs require little extra effort, are included. There are accounts of two applications of the commutative theory ...

(

**5256**views)