TY - BOOK AU - Giles,J.R. TI - Introduction to the analysis of normed linear spaces T2 - Australian Mathematical Society lecture series SN - 9781139168465 (ebook) AV - QA322.2 .G55 2000 U1 - 515/.732 21 PY - 2000/// CY - Cambridge PB - Cambridge University Press KW - Normed linear spaces KW - Mathematical analysis N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015) N2 - This text is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. It aims at providing some insight into basic abstract analysis which is now the contextual language of much modern mathematics. Although it is assumed that the student will have familiarity with elementary real and complex analysis and linear algebra and have studied a course in the analysis of metric spaces, a knowledge of integration theory or general topology is not required. The theme of this text concerns structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. But the implications of the general theory are illustrated with a great variety of example spaces UR - https://doi.org/10.1017/CBO9781139168465 ER -