Modern Approaches to the Invariant-Subspace Problem (e-bog) af Partington, Jonathan R.

Modern Approaches to the Invariant-Subspace Problem e-bog

583,01 DKK (inkl. moms 728,76 DKK)
One of the major unsolved problems in operator theory is the fifty-year-old invariant subspace problem, which asks whether every bounded linear operator on a Hilbert space has a nontrivial closed invariant subspace. This book presents some of the major results in the area, including many that were derived within the past few years and cannot be found in other books. Beginning with a preliminary...
E-bog 583,01 DKK
Forfattere Partington, Jonathan R. (forfatter)
Udgivet 18 december 2011
Genrer PBK
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9781139120128
One of the major unsolved problems in operator theory is the fifty-year-old invariant subspace problem, which asks whether every bounded linear operator on a Hilbert space has a nontrivial closed invariant subspace. This book presents some of the major results in the area, including many that were derived within the past few years and cannot be found in other books. Beginning with a preliminary chapter containing the necessary pure mathematical background, the authors present a variety of powerful techniques, including the use of the operator-valued Poisson kernel, various forms of the functional calculus, Hardy spaces, fixed point theorems, minimal vectors, universal operators and moment sequences. The subject is presented at a level accessible to postgraduate students, as well as established researchers. It will be of particular interest to those who study linear operators and also to those who work in other areas of pure mathematics.