A. Aleksandrov

activity

20162025

most citedOperator Lipschitz Functions

65 citations · 72 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.FA2024★ 1 cited

Functions of self-adjoint operators under relatively bounded and relatively trace class perturbations. Relatively operator Lipschitz functions

Aleksei Aleksandrov, Vladimir Peller

We study the behaviour of functions of self-adjoint operators under relatively bounded and relatively trace class perturbation We introduce and study the class of relatively operat…

math.FA2024

Functions of compact operators under trace class perturbations

A. B. Aleksandrov, V. V. Peller

The paper studies the problem, for which continuous functions $f$ on the real line $R$ , the difference of the functions $f (B) - f (A)$ of self-adjoint operators $A$ and $B$ wit…

math.FA2024

Triangular projection on $S_{p}, 0 < p < 1$ , as $p$ approaches 1

A. B. Aleksandrov, V. V. Peller

This is a continuation of our recent paper. We continue studying properties of the triangular projection $P_{n}$ on the space of $n \times n$ matrices. We establish sharp e…

Functions of self-adjoint operators under relatively bounded and relatively trace class perturbations. Relatively operator Lipschitz functions

Functions of compact operators under trace class perturbations

Triangular projection on Sp​, 0<p<1, as p approaches 1

Triangular projection on $S_{p}, 0 < p < 1$ , as $p$ approaches 1