Zobrazeno 1 - 10
of 43
pro vyhledávání: '"T. Ya. Azizov"'
Publikováno v:
Linear Algebra and Its Applications, 439(3), 771-792
In this paper we generalize results from Stenger (1968) [30], Nudelman (2011) [28] and Azizov and Dijksma (2012) [7] to maximal dissipative and self-adjoint linear relations and discuss related results for nonnegative self-adjoint extensions of nonne
Autor:
Aad Dijksma, T. Ya. Azizov
Publikováno v:
Integral equations and operator theory, 74(2), 259-269. SPRINGER BASEL AG
We reprove and slightly improve theorems of Nudelman and Stenger about compressions of maximal dissipative and self-adjoint operators to subspaces of finite codimension and discuss related results concerning the closedness and the adjoint of a produc
Publikováno v:
Journal of the London Mathematical Society. 83:768-788
Spectral points of type …+ and type …i for closed linear operators and relations in Krein spaces are introduced with the help of approximative eigensequences. It turns out that these spectral points are stable under compact perturbations and pert
Autor:
M. V. Chugunova, T. Ya. Azizov
Publikováno v:
Mathematical Notes. 86:612-624
The main result of the present paper is the use of Pontryagin’s theorem for proving a criterion, based on the difference in the number of negative eigenvalues between two self-adjoint operators L− and L+, for the linear part of a Hamiltonian syst
Autor:
Peter Jonas, T. Ya. Azizov
Publikováno v:
Functional Analysis and Its Applications. 41:169-180
We study analytic properties of special classes of matrix functions (locally definitizable and locally Nevanlinna functions) by methods of operator theory. The aim of this paper is to prove that if G(λ) is a locally definitizable or locally generali
Publikováno v:
Monatshefte fur mathematik, 138(1), 1-29. SPRINGER WIEN
In the first paper of this series (Daniel Alpay, Tomas Azizov, Aad Dijksma, and Heinz Langer: The Schur algorithm for generalized Schur functions I: coisometric realizations, Operator Theory: Advances and Applications 129 (2001), pp. 1-36) it was sho
Publikováno v:
American Mathematical Society Translations: Series 2. :1-24
Autor:
A. I. Barsukov, T. Ya. Azizov
Publikováno v:
Mathematical Notes. 63:145-149
We study properties of Jordan representations ofH-dissipative operators in a finite-dimensional indefiniteH-space. An algebraic proof is given of the fact that such operators always have maximal semidefinite invariant subspaces.
Autor:
T. Ya. Azizov, V. L. Khatskevich
Publikováno v:
Mathematical Notes. 55:549-554
D(A) with respect to the seminorm ([A[x, x) 1/2 (x E D(A)). Let A0 and A1 be closed symmetric operators with D[A0] C H and D[A1] C H, and let [., "]0 and [., "]1 be extensions by continuity (on the possibility of such an extension see Proposition 2 b
Publikováno v:
Mathematical Notes. 69:429-431