A. Skripka

activity

20032023

most citedHigher order spectral shift for contractions

28 citations · 65 across the 21 of their papers we have counts for

collaborators

23 papers

math.FA2023

Approximation of the spectral action functional in the case of $τ$ -compact resolvents

Arup Chattopadhyay, Chandan Pradhan, Anna Skripka

We establish estimates and representations for the remainders of Taylor approximations of the spectral action functional $V \mapsto τ (f (H_{0} + V))$ on bounded self-adjoint perturbations…

math.FA2022

Higher-order spectral shift function for resolvent comparable perturbations

Teun D. H. van Nuland, Anna Skripka

Given a pair of self-adjoint operators $H$ and $V$ such that $V$ is bounded and $(H + V - i)^{- 1} - (H - i)^{- 1}$ belongs to the Schatten-von Neumann ideal $S^{n}$ , $n \geq 2$ , of op…

math.FA2021

Spectral shift for relative Schatten class perturbations

Teun D. H. van Nuland, Anna Skripka

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 $V$ is bounded an…

math.FA2019★ 9 cited

Higher order differentiability of operator functions in Schatten norms

Christian Le Merdy, Anna Skripka

We establish the following results on higher order $S^{p}$ -differentiability, $1 < p < \infty$ , of the operator function arising from a continuous scalar function $f$ and self-…

math.FA2017

Higher order $\Sc^2$-differentiability and application to Koplienko trace formula

Clément Coine, Christian Le Merdy, Anna Skripka +1

Let $A$ be a selfadjoint operator in a separable Hilbert space, $K$ a selfadjoint Hilbert-Schmidt operator, and $f \in C^{n} (R)$ . We establish that $φ (t) = f (A + t K) - f (A)$ is $n$ …

math.FA2015★ 1 cited

Holder's inequality for roots of symmetric operator spaces

Ken Dykema, Anna Skripka

We prove a version of Holder's inequality with a constant for p-th roots of symmetric operator spaces of operators affiliated to a semifinite von Neumann algebra factor, and with c…