Modern Approaches to the Invariant-Subspace Problem

ISBN-13: 9781107010512 / Angielski / Twarda / 2011 / 298 str.

Isabelle Chalendar; Jonathan R. Partington

Opis

Presents work on the invariant subspace problem, a major unsolved problem in operator theory.

Recenzje

'I think this is a very useful book which will serve as a good source for a rich variety of methods that have been developed for proving positive results on the ISP. Moreover, there is much material in the book which is of interest beyond its application to the ISP. [It] should be of interest to analysts in general as well as being an essential source for study of the ISP.' Sandy Davie, SIAM Review

Spis treści

Introduction; 1. Background; 2. The operator-valued Poisson kernel and its applications; 3. Properties (An,m) and factorization of integrable functions; 4. Polynomially bounded operators with rich spectrum; 5. Beurling algebras; 6. Applications of a fixed-point theorem; 7. Minimal vectors; 8. Universal operators; 9. Moment sequences and binomial sums; 10. Positive and strictly-singular operators; Bibliography; Index.