Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Anna Skripka"'
Autor:
Anna Skripka
Publikováno v:
La Matematica. 1:167-185
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::23f3c4889c0115b672afb74314b087ba
https://doi.org/10.1007/s44007-021-00011-w
https://doi.org/10.1007/s44007-021-00011-w
Autor:
Anna Skripka
Publikováno v:
Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis ISBN: 9783031214592
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4780d1358bda12ed64d87ec4fe35fad3
https://doi.org/10.1007/978-3-031-21460-8_9
https://doi.org/10.1007/978-3-031-21460-8_9
Autor:
Anna Skripka
Publikováno v:
Linear Algebra and its Applications. 609:231-252
We establish bounds for Schatten norms of mean squared errors of plug-in estimators of matrix functions that are dimension-independent and optimal with respect to key parameters. We also obtain similar bounds for bias approximation errors that signif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad66f2169c7fe9bffd34be72d7a0514a
https://doi.org/10.1016/j.laa.2020.08.036
https://doi.org/10.1016/j.laa.2020.08.036
Autor:
Anna Skripka
Publikováno v:
Linear Algebra and its Applications. 590:62-84
We derive new types of two-sided bounds for traces of multilinear Schur multipliers that sharpen existing bounds in a number of situations. We also characterize the tracial positivity of the n-linear multipliers on symmetric tuples, assuming their sy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91ce284ac44d8dd3ef89bfde8e963c15
https://doi.org/10.1016/j.laa.2019.12.033
https://doi.org/10.1016/j.laa.2019.12.033
Autor:
Anna Skripka, Maxim Zinchenko
Publikováno v:
Studia Mathematica. 251:207-218
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a7645c36fa24b968f18d04790e5bd831
https://doi.org/10.4064/sm181007-1-1
https://doi.org/10.4064/sm181007-1-1
Autor:
Anna Skripka, Maxim Zinchenko
Publikováno v:
Linear Algebra and its Applications. 582:218-236
We consider Taylor approximations of matrix functions and establish bounds controlling the size of a perturbation in terms of the size of the Taylor remainder or, equivalently, the associated spectral shift function(s). This can be viewed as a stabil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e23175d56ba7592b185bd03624e6f26e
https://doi.org/10.1016/j.laa.2019.07.037
https://doi.org/10.1016/j.laa.2019.07.037
Publikováno v:
Journal of Functional Analysis. 276:3170-3204
Let A be a selfadjoint operator in a separable Hilbert space, K a selfadjoint Hilbert–Schmidt operator, and f ∈ C n ( R ) . We establish that φ ( t ) = f ( A + t K ) − f ( A ) is n-times continuously differentiable on R in the Hilbert–Schmid
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::386dcddc7cc39fd732050ddf4d00e1ad
https://doi.org/10.1016/j.jfa.2018.09.005
https://doi.org/10.1016/j.jfa.2018.09.005
Autor:
Anna Skripka, Arup Chattopadhyay
Publikováno v:
Journal of Functional Analysis. 274:3377-3410
We derive trace formulas for a pair of self-adjoint operators H + V and H under the assumption that ( H − i ) − 1 V is in a Schatten class. This extends the trace formulas of [8] , where V alone is assumed to be in a Schatten class. Our trace for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b30957b0411e85fdb0ec9a40cabc7ab4
https://doi.org/10.1016/j.jfa.2018.02.019
https://doi.org/10.1016/j.jfa.2018.02.019
Publikováno v:
Advances in Mathematics. 320:1063-1098
We establish sharp conditions on scalar functions and perturbations that guarantee Schatten summability of n th order operator Taylor remainders. In the special case of dimension one, our estimates of these remainders deliver well known classical est
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::19f6d187ab1c26c8f7d13dd48355ae89
https://doi.org/10.1016/j.aim.2017.09.012
https://doi.org/10.1016/j.aim.2017.09.012
Autor:
Anna Skripka
Publikováno v:
Linear Algebra and its Applications. 523:118-130
We show that every spectral shift function of an even order η 2 k is nonnegative outside the convex hull of the spectrum of an initial operator cvh σ ( H ) ; every spectral shift function of an odd order η 2 k − 1 is nonnegative (respectively, n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::71443e03d37da9dc3b4c2ad1febfe014
https://doi.org/10.1016/j.laa.2017.02.026
https://doi.org/10.1016/j.laa.2017.02.026