TY - BOOK AU - Jameson,G.J.O. TI - Summing and nuclear norms in Banach space theory T2 - London Mathematical Society student texts SN - 9780511569166 (ebook) AV - QA322.2 .J36 1987 U1 - 515.7/32 19 PY - 1987/// CY - Cambridge PB - Cambridge University Press KW - Banach spaces KW - Banach algebras KW - Operator theory N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015) N2 - This textbook is an introduction to the techniques of summing and nuclear norms. The author's aim is to present a clear and simple account of these ideas and to demonstrate the power of their application to a variety of Banach space questions. The style is expository and the only prerequisite is a beginner's course on Wormed linear spaces and a minimal knowledge of functional analysis. Thus, Dr Jameson is able to concentrate on important, central results and gives concrete and largely non-technical proofs, often supplying alternative proofs which both contribute something to the understanding. Final-year undergraduates and postgraduates in functional analysis will enjoy this introduction to the subject, and there are many examples and exercises throughout the text to help the reader and to demonstrate the range of application these techniques find. A list of references indicates the way for further reading UR - https://doi.org/10.1017/CBO9780511569166 ER -