## An Introduction to Models and Decompositions in Operator TheoryDecompositions and models for Hilbert-space operators have been very active research topics in operator theory over the past three decades. This book is intended as an introduction to this crucial part of operator theory, providing for the student a unified access, from an abstract point of view, to an active research field. It focuses on decompositions and models as if they were the main characters in a plot, chosen from a myriad of equally important characters, and highlighted for their illustrative attributes. It has been written for an audience composed mainly of graduate students taking operator theory either as their major or as a support for applications in mathematics or in one of the sciences. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

An Introduction to Models and Decompositions in Operator Theory Carlos S. Kubrusly Limited preview - 1997 |

An Introduction to Models and Decompositions in Operator Theory Carlos S. Kubrusly Limited preview - 2012 |

An Introduction to Models and Decompositions in Operator Theory Carlos S. Kubrusly No preview available - 2012 |

### Common terms and phrases

adjoint Af(A Af(I B+[H backward unilateral shift Banach-Steinhaus Theorem bilateral bounded operator boundedness canonical backward unilateral canonical unilateral shift Chapter coisometry commutes completely nonunitary contraction convergence countable denoted direct sum direct summand ensures exists finite-dimensional follows G+[H hence Hilbert space hyponormal implies inner product integer invariant subspace problem JV(A Lemma linear manifold linear transformation Moreover Nagy-Foia§-Langer decomposition nonnegative operators nonscalar nontrivial hyperinvariant subspace nontrivial invariant subspace nonzero norm normal operator normaloid Note operator on H operator theory orthogonal subspaces partial isometry polar decomposition power bounded operator Proposition 3.1 QTQ-l quasiaffine transform quasisimilar readily verified recall reducing subspace scalar self-adjoint operators sequence shift of multiplicity space H spectral radius spectrum strict contraction strong stability strongly stable contraction subspace of H surjective Take an arbitrary Theorem 5.1 trivially uniform stability unitarily equivalent unitary operator weakly stable x e H y e H