ISBN-10:
0817639926
ISBN-13:
9780817639921
Pub. Date:
08/19/1997
Publisher:
Birkh�user Boston
An Introduction to Models and Decompositions in Operator Theory / Edition 1

An Introduction to Models and Decompositions in Operator Theory / Edition 1

by Carlos S. Kubrusly

Hardcover

Current price is , Original price is $79.99. You

Temporarily Out of Stock Online

Please check back later for updated availability.

Product Details

ISBN-13: 9780817639921
Publisher: Birkh�user Boston
Publication date: 08/19/1997
Edition description: 1997
Pages: 132
Product dimensions: 6.10(w) x 9.25(h) x 0.01(d)

Table of Contents

0. Preliminaries.- 0.1. Hilbert-Space Operators.- 0.2. Spectrum of an Operator.- 0.3. Convergence and Stability.- 0.4. Projections and Isometries.- 0.5. Invariant Subspaces.- 0.6. Spectral Theorem.- 1. Equivalence.- 1.1. Parts.- 1.2. Norms.- 2. Shifts.- 2.1. Unilateral Shifts.- 2.2. Bilateral Shifts.- 3. Contractions.- 3.1. The Strong Limits of {T*nTn} and {TnT*n}.- 3.2. The Isometry V on R(A)-.- 4. Quasisimilarity.- 4.1. Invariant Subspaces.- 4.2. Hyperinvariant Subspaces.- 4.3. Contractions Quasisimilar to a Unitary Operator.- 5. Decompositions.- 5.1. Nagy-Foia?—Langer Decomposition.- 5.2. von Neumann-Wold Decomposition.- 5.3. A Decomposition for Contractions with A = A2.- 6. Models.- 6.1. Rota’s Model.- 6.2. de Branges-Rovnyak Refinement.- 6.3. Durszt Extension.- 7. Applications.- 7.1. A Pattern for Contractions.- 7.2. Foguel Decomposition.- 8. Similarity.- 8.1. Power Boundedness.- 8.2. Weak and Strong Stability.- References.

Customer Reviews

Most Helpful Customer Reviews

See All Customer Reviews