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The aim of this book is to set up the fundamentals of real operator algebras and to give a systematic discussion for real operator algebras. Since the treatment is from the beginning (real Banach and Hilbert spaces, real Banach algebras, real C-algebras and W-algebras, etc.), and some basic facts are given, one can get some results on real operator algebras easily.
The book is also an introduction to real operator algebras, written in a self-contained manner. The reader needs just a general knowledge of Banach algebras and operator algebras.
|1||Real Banach and Hilbert Spaces||1|
|2||Real Banach Algebras||15|
|3||Real Banach * Algebras||37|
|4||Fundamentals of Real Von Neumann Algebras||59|
|5||Fundamentals of Real C[superscript *]-Algebras||77|
|6||Real W[superscript *]-Algebras||123|
|7||Gelfand-Naimark Conjecture in the Real Case||147|
|8||Classification of Real W[superscript *]-Algebras||167|
|9||Real Reduction Theory||191|
|10||(AF) Real C[superscript *]-Algebras||211|