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The concepts of boundary relations and the corresponding Weyl families are introduced. Let
$ S $ be a closed symmetric linear operator or, more generally, a closed symmetric relation …

We investigate spectral properties of Gesztesy–Šeba realizations DX, α and DX, β of the 1-D
Dirac differential expression D with point interactions on a discrete set [Formula: see text] …

It is well known that a Lipschitz function on the real line does not have to be operator
Lipschitz. We show that the situation changes dramatically if we pass to Hölder classes …

Consider the minimal Sturm–Liouville operator A= Amin generated by the differential
expression in the Hilbert space L2 (R+, H) where T= T⁎⩾ 0 in H. We investigate the …

Одна из важнейших задач теории возмущений состоит в исследовании, насколько
изменятся функции f (A) от оператора A при малых возмущениях оператора. В …

The classical Weyl–von Neumann theorem states that for any self-adjoint operator A0 in a
separable Hilbert space H there exists a (non-unique) Hilbert–Schmidt operator C= C⁎ such …

This is a continuation of our paper [2]. We prove that for functions f in the Hölder class Λα (R)
and 1< p<∞, the operator f (A)− f (B) belongs to Sp/α, whenever A and B are self-adjoint …

This book is concerned with model representations theory of linear non-selfadjoint and non-
unitary operators, one of booming areas of functional analysis. This area owes its origin to …

One of the central objects in the theory of singular Sturm-Liouville differential expressions is
the Titchmarsh-Weyl function m introduced and studied in the classical works of Titchmarsh …