Colloquium Publications 1932; 622 pp; softcover Volume: 15 Reprint/Revision History: twelfth printing 2000 ISBN10: 0821810154 ISBN13: 9780821810156 List Price: US$89 Member Price: US$71.20 Order Code: COLL/15
 Reviews "This book [a 1990 reprint of the 1932 original] is a classic by now."  Mathematical Reviews "The author has set himself the task of giving a thorough and systematic exposition of the main features of the theory, based on his own investigations, but also containing the principal results of Carleman and von Neumann. "Professor Stone has done us a real service by providing a clear, systematic, and readable account of this important theory which is still in statu nascendi. The book is not always easy reading, but the author is fair to the reader: nothing essential is withheld, the terminology is clearly defined and strictly adhered to, there are enough facts provided for the imagination to feed on, but no loose statements."  Bulletin of the AMS Table of Contents  Abstract Hilbert space and its realizations
 Transformations in Hilbert space
 Examples of linear transformations
 Resolvents, spectra, reducibility
 Selfadjoint transformations
 The operational calculus
 The unitary equivalence of selfadjoint transformations
 General types of linear transformations
 Applications
 Index
