# Commuting Nonselfadjoint Operators and their Characteristic Operator-Functions

Serdica Mathematical Journal (1997)

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

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topKirchev, 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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