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Two-sided estimates for the trace of the difference of two semigroups. / Birman, M. Sh; Sloushch, V. A.

In: Functional Analysis and its Applications, Vol. 43, No. 3, 09.2009, p. 184-189.

Research output: Contribution to journal › Article › peer-review

Harvard

Birman, MS & Sloushch, VA 2009, 'Two-sided estimates for the trace of the difference of two semigroups', Functional Analysis and its Applications, vol. 43, no. 3, pp. 184-189. https://doi.org/10.1007/s10688-009-0026-x

APA

Birman, M. S., & Sloushch, V. A. (2009). Two-sided estimates for the trace of the difference of two semigroups. Functional Analysis and its Applications, 43(3), 184-189. https://doi.org/10.1007/s10688-009-0026-x

Vancouver

Birman MS, Sloushch VA. Two-sided estimates for the trace of the difference of two semigroups. Functional Analysis and its Applications. 2009 Sep;43(3):184-189. https://doi.org/10.1007/s10688-009-0026-x

Author

Birman, M. Sh ; Sloushch, V. A. / Two-sided estimates for the trace of the difference of two semigroups. In: Functional Analysis and its Applications. 2009 ; Vol. 43, No. 3. pp. 184-189.

BibTeX

@article{c4a9b97a45334d98ada08663172ba9df,
title = "Two-sided estimates for the trace of the difference of two semigroups",
abstract = "This paper deals with the derivation of two-sided estimates for the trace of the difference of two semigroups generated by two Schrodinger operators in L (2)(a{"}e(3)) with trace class difference of the resolvents. Use is made of a purely operator-theoretic technique. The results are stated in a rather general abstract form. The sharpness of our estimates is confirmed by the fact that they imply the asymptotic behavior of the trace of the difference of the semigroups as t -> +0. Our considerations are substantially based on the Krein-Lifshits formula and on the Birman-Solomyak representation for the spectral shift function.",
keywords = "spectral shift function, Schrodinger operator, trace formula, FORMULA",
author = "Birman, {M. Sh} and Sloushch, {V. A.}",
year = "2009",
month = sep,
doi = "10.1007/s10688-009-0026-x",
language = "Английский",
volume = "43",
pages = "184--189",
journal = "Functional Analysis and its Applications",
issn = "0016-2663",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Two-sided estimates for the trace of the difference of two semigroups

AU - Birman, M. Sh

AU - Sloushch, V. A.

PY - 2009/9

Y1 - 2009/9

N2 - This paper deals with the derivation of two-sided estimates for the trace of the difference of two semigroups generated by two Schrodinger operators in L (2)(a"e(3)) with trace class difference of the resolvents. Use is made of a purely operator-theoretic technique. The results are stated in a rather general abstract form. The sharpness of our estimates is confirmed by the fact that they imply the asymptotic behavior of the trace of the difference of the semigroups as t -> +0. Our considerations are substantially based on the Krein-Lifshits formula and on the Birman-Solomyak representation for the spectral shift function.

AB - This paper deals with the derivation of two-sided estimates for the trace of the difference of two semigroups generated by two Schrodinger operators in L (2)(a"e(3)) with trace class difference of the resolvents. Use is made of a purely operator-theoretic technique. The results are stated in a rather general abstract form. The sharpness of our estimates is confirmed by the fact that they imply the asymptotic behavior of the trace of the difference of the semigroups as t -> +0. Our considerations are substantially based on the Krein-Lifshits formula and on the Birman-Solomyak representation for the spectral shift function.

KW - spectral shift function

KW - Schrodinger operator

KW - trace formula

KW - FORMULA

U2 - 10.1007/s10688-009-0026-x

DO - 10.1007/s10688-009-0026-x

M3 - статья

VL - 43

SP - 184

EP - 189

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 0016-2663

IS - 3

ER -

ID: 37263806