Standard

On the problem of the similarity for one class of not self-conjugate operators. / Faddeev, M. M.

в: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, № 3, 01.07.1996, стр. 115-116.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Faddeev, MM 1996, 'On the problem of the similarity for one class of not self-conjugate operators', Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, № 3, стр. 115-116.

APA

Faddeev, M. M. (1996). On the problem of the similarity for one class of not self-conjugate operators. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, (3), 115-116.

Vancouver

Faddeev MM. On the problem of the similarity for one class of not self-conjugate operators. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 1996 Июль 1;(3):115-116.

Author

Faddeev, M. M. / On the problem of the similarity for one class of not self-conjugate operators. в: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 1996 ; № 3. стр. 115-116.

BibTeX

@article{55d3c323129f4516ad637b6d23c126bd,
title = "On the problem of the similarity for one class of not self-conjugate operators",
abstract = "The criteria of the similarity of an operator to a self-conjugate one has been formulated. The not self-conjugate operator A of the Friedrichs model in the space L2(R,M) has been considered. The condition of the similarity of the weakly perturbed multiplication operator A to the self-conjugate in the terms of the functions determining the perturbation having the rank equal to 1 has been described. It has been established that the operator A has been similar to the self-conjugate one if the singular integral operator T has been bounded. The following formula has been correct A=L-[T,L], where L is the multiplication operator on a independent variable in the space L2(R,M).",
author = "Faddeev, {M. M.}",
year = "1996",
month = jul,
day = "1",
language = "русский",
pages = "115--116",
journal = "ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ",
issn = "1025-3106",
publisher = "Издательство Санкт-Петербургского университета",
number = "3",

}

RIS

TY - JOUR

T1 - On the problem of the similarity for one class of not self-conjugate operators

AU - Faddeev, M. M.

PY - 1996/7/1

Y1 - 1996/7/1

N2 - The criteria of the similarity of an operator to a self-conjugate one has been formulated. The not self-conjugate operator A of the Friedrichs model in the space L2(R,M) has been considered. The condition of the similarity of the weakly perturbed multiplication operator A to the self-conjugate in the terms of the functions determining the perturbation having the rank equal to 1 has been described. It has been established that the operator A has been similar to the self-conjugate one if the singular integral operator T has been bounded. The following formula has been correct A=L-[T,L], where L is the multiplication operator on a independent variable in the space L2(R,M).

AB - The criteria of the similarity of an operator to a self-conjugate one has been formulated. The not self-conjugate operator A of the Friedrichs model in the space L2(R,M) has been considered. The condition of the similarity of the weakly perturbed multiplication operator A to the self-conjugate in the terms of the functions determining the perturbation having the rank equal to 1 has been described. It has been established that the operator A has been similar to the self-conjugate one if the singular integral operator T has been bounded. The following formula has been correct A=L-[T,L], where L is the multiplication operator on a independent variable in the space L2(R,M).

UR - http://www.scopus.com/inward/record.url?scp=0030177709&partnerID=8YFLogxK

M3 - статья

AN - SCOPUS:0030177709

SP - 115

EP - 116

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

SN - 1025-3106

IS - 3

ER -

ID: 35401905