Logo

Basic Analysis Gently Done: Topological Vector Spaces

Small book cover: Basic Analysis Gently Done: Topological Vector Spaces

Basic Analysis Gently Done: Topological Vector Spaces
by

Publisher: King's College, London
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

Book cover: Functional AnalysisFunctional Analysis
by - arXiv
Notes from a course which covered themes in functional analysis and operator theory, with an emphasis on topics of special relevance to such applications as representation theory, harmonic analysis, mathematical physics, and stochastic integration.
(7989 views)
Book cover: Operators on Hilbert SpaceOperators on Hilbert Space
by - King's College London
These are notes for a King's College course to fourth year undergraduates and MSc students. They cover the theoretical development of operators on Hilbert space up to the spectral theorem for bounded selfadjoint operators.
(6201 views)
Book cover: Distribution Theory (Generalized Functions)Distribution Theory (Generalized Functions)
by
From the table of contents: Introduction; The spaces S and S'; The spaces D and D'; The Fourier transform; Convolution; Fourier-Laplace Transform; Structure Theorem for Distributions; Partial Differential Equations; and more.
(7384 views)
Book cover: Global Analysis: Functional Analysis ExamplesGlobal Analysis: Functional Analysis Examples
by - BookBoon
From the table of contents: Metric spaces; Topology; Continuous mappings; Sequences; Semi-continuity; Connected sets, differentiation; Normed vector spaces and integral operators; Differentiable mappings; Complete metric spaces; and more.
(8992 views)