Recent advances in operatory theory and related topics

Auteurs

• László Kérchy

Paramètres

• Manuels
• Manuels universitaires
• Operator theory

En savoir plus sur le livre

This work explores various advanced topics in functional analysis and operator theory. It delves into inverse problems related to differential systems and the construction of Schwarz norms. The study includes extremal extensions of nonnegative operators and examines Livšic—Brodskii nodes with specific characteristic matrix functions in the Hardy class. It investigates scalar perturbations of Sz. Nagy—Foias characteristic functions and presents inequalities for eigenvalues within von Neumann algebras. The text discusses weighted variants of the Three Chains Completion Theorem and the role of semigroups in finite von Neumann algebras. Other topics include singly generated algebras with compact operators, analytic extensions of vector-valued functions, and the structure of spherical contractions. The work highlights hyper-reflexivity in Apostol’s bilateral weighted shifts and extends the Heinz—Kato—Furuta inequality. It addresses the generalized von Neumann inequality and ultraproducts of C*-algebras. Additionally, it covers intertwining extensions, self-polar Hilbertian norms, Schur norms, and spectral properties of self-adjoint Jacobi matrices. The text also discusses the hyperinvariant subspace problem, spectral shift functions, and operator moment problems in unbounded sets, alongside the uniqueness of invariant measures for the stochastic Cauchy problem in Banach spaces.

Achat du livre

• Année de publication: 2001