Titlebook: Operator Theory and Related Topics; Proceedings of the M V. M. Adamyan,I. Gohberg,G. Popov Conference proceedings 2000 Springer Basel AG 20

BURSA

An Outer Derivation Construction on the Algebra of Singular Integral Operators with General Coefficultiplication by essentially bounded functions utilizing properties of the commutator [..; ..] where . is the unit circle and . ∈ .(.). By the use of this derivation some algebraic properties of the Banach algebra of singular integral operators .(.., .) are investigated on the spaces ..(.) fo

fibula

Nutrient

Bistrict Plus-operators in Krein Spaces and Dichotomous Behavior of Irreversible Dynamical Systems,ative components can be infinite-dimensional in general. The weak compactness of the image and the preimage of this ball by a fractional-linear transformation is established. This transformation is generated by a continuous linear operator, which is not continuously invertible in general. We assume

Indebted

Singular Operator as a Parameter of Self-adjoint Extensions, We prove that in the case, where .. ≠ ., under natural conditions, each self-adjoint extension . of . has a unique representation in the form of a generalized sum, . = . + ., where . is a singular operator acting in the .-scale of Hilbert spaces, from ..(.) to ..(.). In the particular case, where .

悲痛

,Few-body Krein’s Formula,eral quantum particles with generalized point interactions are investigated in detail and a few-body analog of Krein’s formula for generalized resolvents is proven. New conditions for semiboundedness of .-body quantum Hamiltonian with generalized point interactions in the three-dimensional space are

讓你明白

Linearization and Compact Perturbation of Self-adjoint Analytic Operator Functions,e of a self-adjoint analytic operator function . are introduced and their behavior under bounded and compact perturbations is studied. An essential tool is a linearization of the function ., which is a self-adjoint operator in some Krein space.

maladorit

Operator Interpretation of Resonances Generated by Some Operator Matrices,e construct a family of non-selfadjoint operators which reproduce certain parts of the transfer-function spectrum including resonances situated on the unphysical sheets neighboring the physical sheet. On this basis, completeness and basis properties for the root vectors of the transfer function (inc

陶瓷

拍翅

A Termwise Differentiation in the Inductive Scales of the Locally Convex Spaces,ductive scale of the locally convex spaces and the analogous ones for the series of homogeneously differentiable mappings from a segment into the arbitrary inductive scale of the locally convex spaces. Some examples are considered.

ABYSS

Operator Relations, Dynamical Systems, and Representations of a Class of Wick Algebras,m acting on the spectrum of a commuting sub-family. In the first section we introduce a class of relations and show, how the representations of such relations are related to orbits of the corresponding dynamical system. Also, we discuss the problem of accurate sense of the relation for unbounded ope