An Introduction To The Theory Of Linear Spaces
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An Introduction to the Theory of Linear Spaces
Author: Georgi E. Shilov
language: en
Publisher: Courier Corporation
Release Date: 1974-01-01
Translation of Vvedenie v teori'iu lineinykh prostranstv.
Introduction to the Analysis of Normed Linear Spaces
Author: J. R. Giles
language: en
Publisher: Cambridge University Press
Release Date: 2000-03-13
This is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. The reader need only be familiarity with elementary real and complex analysis, linear algebra and have studied a course in the analysis of metric spaces; knowledge of integration theory or general topology is not required. The text concerns the structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. The implications of the general theory are illustrated with a great variety of example spaces.