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πŸ“

Notes on Locally Convex Topological Vector Spaces

✍ Scribed by Joseph L Taylor


Year
1995
Tongue
English
Leaves
51
Category
Library

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✦ Synopsis


Notes from a 1994–95 graduate course.
Designed to supplement the topological vector space chapters of Rudin’s Functional Analysis.

✦ Table of Contents


  1. Completeness p. 3
  2. Limits p. 6
  3. Tensor Products p. 13
  4. Duality p. 21
  5. Nuclear Spaces p. 30
  6. Distributions p. 45

✦ Subjects


Nuclear spaces, LCS, LCTVS, topological vector spaces


πŸ“œ SIMILAR VOLUMES


A Course on Topological Vector Spaces
✍ J. Voigt πŸ“‚ Library πŸ“… 2020 πŸ› BirkhΓ€user 🌐 English

This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach’s theorem