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Krein’s trace formula for unitary operators and operator Lipschitz functions. / Peller, V. V.; Александров, Алексей Борисович.
в: Functional Analysis and its Applications, Том 50, № 3, 01.07.2016, стр. 167-175.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Krein’s trace formula for unitary operators and operator Lipschitz functions
AU - Peller, V. V.
AU - Александров, Алексей Борисович
N1 - Publisher Copyright: © 2016, Springer Science+Business Media New York.
PY - 2016/7/1
Y1 - 2016/7/1
N2 - The main result of this paper is a description of the space of functions on the unit circle, for which Krein’s trace formula holds for arbitrary pairs of unitary operators with trace class difference. This space coincides with the space of operator Lipschitz functions on the unit circle.
AB - The main result of this paper is a description of the space of functions on the unit circle, for which Krein’s trace formula holds for arbitrary pairs of unitary operators with trace class difference. This space coincides with the space of operator Lipschitz functions on the unit circle.
KW - double operator integrals
KW - Krein’s trace formula
KW - operator Lipschitz functions
KW - Schur multipliers
KW - spectral shift function
UR - http://www.scopus.com/inward/record.url?scp=84988420359&partnerID=8YFLogxK
U2 - 10.1007/s10688-016-0145-0
DO - 10.1007/s10688-016-0145-0
M3 - Article
AN - SCOPUS:84988420359
VL - 50
SP - 167
EP - 175
JO - Functional Analysis and its Applications
JF - Functional Analysis and its Applications
SN - 0016-2663
IS - 3
ER -
ID: 87315219