TY - BOOK AU - Douglas, Ronald G. AU - Douglas, Ronald G. TI - Banach Algebra Techniques in Operator Theory SN - 9780387983776 U1 - 515.724 DOU PY - 1998/// CY - New York PB - : Springer KW - Mathematics KW - Analysis KW - Operator theory KW - Banach algebras KW - Hilbert space KW - Banach-Algebra N1 - Banach spaces -- Banach algebras -- Geometry of Hilbert space -- Operators on Hilbert space and C Algebras -- Compact operators, Fredholm operators, and index theory -- The Hardy spaces -- Toeplitz operators N2 - The intention of this book is to discuss certain advanced topics in operator theory and to provide the necessary background for them assuming only the standard senior to first-year-graduate courses in general topology, measure theory, and algebra. At the end of each chapter there are source notes which suggest additional reading and give some comments on who proved what and when. In addition, following each chapter is a large number of problems of varying difficulty. This new edition will appeal to a new generation of students seeking an introduction to operator theory ER -