Commuting Nonselfadjoint Operators and their Characteristic Operator-Functions

Kirchev, K.; Borisova, G.

Serdica Mathematical Journal (1997)

  • Volume: 23, Issue: 3-4, page 313-334
  • ISSN: 1310-6600

Abstract

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* Partially supported by Grant MM-428/94 of MESC.In this paper we present some generalizations of results of M. S. Livšic [4,6], concerning regular colligations (A1, A2, H, Φ, E, σ1, σ2, γ, ˜γ) (σ1 > 0) of a pair of commuting nonselfadjoint operators A1, A2 with finite dimensional imaginary parts, their complete characteristic functions and a class Ω(σ1, σ2) of operator-functions W(x1, x2, z): E → E in the case of an inner function W(1, 0, z) of the class Ω(σ1). ...

How to cite

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Kirchev, K., and Borisova, G.. "Commuting Nonselfadjoint Operators and their Characteristic Operator-Functions." Serdica Mathematical Journal 23.3-4 (1997): 313-334. <http://eudml.org/doc/11620>.

@article{Kirchev1997,
abstract = {* Partially supported by Grant MM-428/94 of MESC.In this paper we present some generalizations of results of M. S. Livšic [4,6], concerning regular colligations (A1, A2, H, Φ, E, σ1, σ2, γ, ˜γ) (σ1 > 0) of a pair of commuting nonselfadjoint operators A1, A2 with finite dimensional imaginary parts, their complete characteristic functions and a class Ω(σ1, σ2) of operator-functions W(x1, x2, z): E → E in the case of an inner function W(1, 0, z) of the class Ω(σ1). ...},
author = {Kirchev, K., Borisova, G.},
journal = {Serdica Mathematical Journal},
keywords = {Operator Colligation; Complete Characteristic Operator-Function; Joint Characteristic Function; Trunk; complete characteristic operator-function; joint characteristic function; trunk; regular colligations; operator-functions},
language = {eng},
number = {3-4},
pages = {313-334},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Commuting Nonselfadjoint Operators and their Characteristic Operator-Functions},
url = {http://eudml.org/doc/11620},
volume = {23},
year = {1997},
}

TY - JOUR
AU - Kirchev, K.
AU - Borisova, G.
TI - Commuting Nonselfadjoint Operators and their Characteristic Operator-Functions
JO - Serdica Mathematical Journal
PY - 1997
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 23
IS - 3-4
SP - 313
EP - 334
AB - * Partially supported by Grant MM-428/94 of MESC.In this paper we present some generalizations of results of M. S. Livšic [4,6], concerning regular colligations (A1, A2, H, Φ, E, σ1, σ2, γ, ˜γ) (σ1 > 0) of a pair of commuting nonselfadjoint operators A1, A2 with finite dimensional imaginary parts, their complete characteristic functions and a class Ω(σ1, σ2) of operator-functions W(x1, x2, z): E → E in the case of an inner function W(1, 0, z) of the class Ω(σ1). ...
LA - eng
KW - Operator Colligation; Complete Characteristic Operator-Function; Joint Characteristic Function; Trunk; complete characteristic operator-function; joint characteristic function; trunk; regular colligations; operator-functions
UR - http://eudml.org/doc/11620
ER -

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