Search Results - "Skripka, Anna"

Two-sided bounds for the tracial seminorm of multilinear Schur multipliers by Skripka, Anna

“…We establish novel two-sided bounds for the tracial seminorm of multilinear Schur multipliers that tighten previously known bounds. The result is obtained by a…”
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On single commutators in II_{1}-factors by Dykema, Ken, Skripka, Anna

“…We investigate the question of whether all elements of trace zero in a II _1…”
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MSE bounds for estimators of matrix functions by Skripka, Anna

“…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…”
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Estimates and trace formulas for unitary and resolvent comparable perturbations by Skripka, Anna

“…We prove estimates for Schatten norms of multiple operator integrals with symbols arising from Fourier series and, as a consequence, derive higher order trace…”
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On positivity of spectral shift functions by Skripka, Anna

“…We show that every spectral shift function of an even order η2k is nonnegative outside the convex hull of the spectrum of an initial operator cvhσ(H); every…”
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Asymptotic expansions for trace functionals by Skripka, Anna

“…We obtain Taylor approximations for functionals V↦Tr(f(H0+V)) defined on the bounded self-adjoint operators, where H0 is a self-adjoint operator with compact…”
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Spectral shift function of higher order by Potapov, Denis, Skripka, Anna, Sukochev, Fedor

“…This paper resolves affirmatively Koplienko’s (Sib. Mat. Zh. 25:62–71, 1984 ) conjecture on existence of higher order spectral shift measures. Moreover, the…”
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Perturbation Formulas for Traces on Normed Ideals by Dykema, Ken, Skripka, Anna

“…We prove perturbation results for traces on normed ideals in semifinite von Neumann algebra factors. This includes the case of Dixmier traces. In particular,…”
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Trace Formulas for Multivariate Operator Functions by Skripka, Anna

“…We extend results on Taylor-like approximations of single-variable operator functions of contractions to the multivariate case, with perturbations allowed to…”
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Erratum to: Perturbation Formulas for Traces on Normed Ideals by Dykema, Ken, Skripka, Anna

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Approximation of the Spectral Action Functional in the Case of τ-Compact Resolvents by Chattopadhyay, Arup, Pradhan, Chandan, Skripka, Anna

“…We establish estimates and representations for the remainders of Taylor approximations of the spectral action functional V ↦ τ ( f ( H 0 + V ) ) on bounded…”
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Multilinear Schur multipliers and Schatten properties of operator Taylor remainders by Potapov, Denis, Skripka, Anna, Sukochev, Fedor, Tomskova, Anna

“…We establish sharp conditions on scalar functions and perturbations that guarantee Schatten summability of nth order operator Taylor remainders. In the special…”
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Higher Order Spectral Shift, II. Unbounded Case by Skripka, Anna

“…We construct higher order spectral shift functions, which represent the remainders of Taylor-type approximations for the value of a function at a perturbed…”
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Functions of unitary operators: Derivatives and trace formulas by Potapov, Denis, Skripka, Anna, Sukochev, Fedor

“…Let A be a bounded self-adjoint operator on a separable Hilbert space H and U0 an arbitrary unitary operator. We derive formulas for higher order derivatives…”
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ON SINGLE COMMUTATORS IN II₁-FACTORS by DYKEMA, KEN, SKRIPKA, ANNA

“…We investigate the question of whether all elements of trace zero in a II₁-factor are single commutators. We show that all nilpotent elements are single…”
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Higher order spectral shift by Dykema, Ken, Skripka, Anna

“…We construct higher order spectral shift functions, extending the perturbation theory results of M.G. Krein [M.G. Krein, On a trace formula in perturbation…”
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Trace formulas for resolvent comparable operators by Potapov, Denis, Skripka, Anna, Sukochev, Fedor

“…We derive trace formulas for self-adjoint perturbations of self-adjoint operators such that the difference of the resolvents of the initial and perturbed…”
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Higher‐order spectral shift for contractions by Potapov, Denis, Skripka, Anna, Sukochev, Fedor

“…We derive strong estimates for Schatten norms of operator derivatives along paths of contractions and apply them to prove existence of higher‐order spectral…”
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Spectral shift for relative Schatten class perturbations by van Nuland, Teun D. H., Skripka, Anna

“…We affirmatively settle the question on existence of a real-valued higher order spectral shift function for a pair of self-adjoint operators H and V such that…”
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On a Perturbation Determinant for Accumulative Operators by Makarov, Konstantin A., Skripka, Anna, Zinchenko, Maxim

“…For a purely imaginary sign-definite perturbation of a self-adjoint operator, we obtain exponential representations for the perturbation determinant in both…”
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