Translations of Mathematical Monographs 1971; 246 pp; softcover Volume: 32 ISBN10: 0821841637 ISBN13: 9780821841631 List Price: US$88 Member Price: US$70.40 Order Code: MMONO/32.S
 Determining the invariant subspaces of any given transformation and writing the transformation as an integral in terms of invariant subspaces is a fundamental problem. This book presents the foundations of the theory of triangular and Jordan representations of bounded linear operators in Hilbert space and solves the problem in the case of completely continuous transformations. The reader is assumed to know the basics of linear operator theory. Readership Graduate students and research mathematicians interested in analysis. Table of Contents  Operator and matrix nodes. Characteristic functions of nodes
 Triangular representations of Volterra operators and multiplicative representations of characteristic functions of Volterra nodes
 Unicellular operators. Jordan representations of dissipative Volterra operators with nuclear imaginary components
 Appendix I. Generalization of Naĭmark's theorem
 Invertible holomorphic operatorfunctions
 Notes on the literature and additional remarks
 Bibliography
