Search Results - "Aleksandrov, A. B."

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    On Substitutions with a Weight in the Space of Operator Lipschitz Functions by Aleksandrov, A. B.

    “…Operators of the form f ⟼ x β f ( x α ) are treated. Among other things, it is proved that such an operator acts on the class of operator Lipschitz functions…”
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    On Operator Lipschitz Norm of the Function zn on Finite Subsets of the Unit Circle by Aleksandrov, A. B.

    “…The paper contains some remarks concerning the behavior of the operator Lipschitz norm of the functions z n on subsets of the unit circle. In particular, we…”
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    Functions of perturbed commuting dissipative operators by Aleksandrov, A. B., Peller, V. V.

    Published in Mathematische Nachrichten (01-06-2022)
    “…The main objective of the paper is to obtain sharp Lipschitz type estimates for the norm of operator differences f(L1,M1)−f(L2,M2)$f\big (L_1,M_1\big )-f\big…”
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    Dominant Sets for Model Spaces in Several Variables by Aleksandrov, A. B., Dubtsov, E. S.

    Published in Mathematical Notes (01-02-2024)
    “…Let be an inner function in the domain , where is the open unit ball in , . We construct dominant sets for the space , where is the standard Hardy space…”
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    Some Remarks Concerning Operator Lipschitz Functions by Aleksandrov, A. B.

    “…We consider examples of operator Lipschitz functions f for which the operator Lipschitz seminorm ‖ f ‖ OL(ℝ) coincides with the Lipschitz seminorm ‖ f ‖ Lip(ℝ)…”
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    Functions of Pairs of Unbounded Noncommuting Self-Adjoint Operators under Perturbation by Aleksandrov, A. B., Peller, V. V.

    Published in Doklady. Mathematics (01-12-2022)
    “…For a pair of not necessarily bounded and not necessarily commuting self-adjoint operators and for a function f on the Euclidean space that belongs to the…”
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    Functions of noncommuting operators under perturbation of class Sp by Aleksandrov, A. B., Peller, V. V.

    Published in Mathematische Nachrichten (01-05-2020)
    “…In this article we prove that for p>2, there exist pairs of self‐adjoint operators (A1,B1) and (A2,B2) and a function f on the real line in the homogeneous…”
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    Krein’s trace formula for unitary operators and operator Lipschitz functions by Aleksandrov, A. B., Peller, V. V.

    Published in Functional analysis and its applications (01-07-2016)
    “…The main result of this paper is a description of the space of functions on the unit circle, for which Krein’s trace formula holds for arbitrary pairs of…”
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    On a Trace Formula for Functions of Noncommuting Operators by Aleksandrov, A. B., Peller, V. V., Potapov, D. S.

    Published in Mathematical Notes (01-09-2019)
    “…The main result of the paper is that the Lifshits-Krein trace formula cannot be generalized to the case of functions of noncommuting self-adjoint operators. To…”
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    A novel scoring function for molecular docking by Muryshev, A E, Tarasov, D N, Butygin, A V, Butygina, O Yu, Aleksandrov, A B, Nikitin, S M

    Published in Journal of computer-aided molecular design (01-09-2003)
    “…We present a novel scoring function for docking of small molecules to protein binding sites. The scoring function is based on a combination of two main…”
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    Operator and commutator moduli of continuity for normal operators by Aleksandrov, A. B., Peller, V. V.

    “…We study in this paper properties of functions of perturbed normal operators and develop earlier results obtained in Aleksandrov, Peller, Potapov and Sukochev…”
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    INNER FUNCTIONS, BLOCH SPACES AND SYMMETRIC MEASURES by ALEKSANDROV, A. B., ANDERSON, J. M., NICOLAU, A.

    “…Schwarz's lemma asserts that analytic mappings from the unit disc into itself decrease hyperbolic distances. In this paper, inner functions which decrease…”
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    Automatic Detection of Spills and Gas Pockets upon Ultrasonic Checking of Welds in Zirconium Fuel Claddings by Aleksandrov, A. B., Zhukov, Yu. A., Vasyukov, V. N., Gruzman, I. S., Karlov, Yu. K., Marchenko, V. G., Spektor, A. A.

    Published in Russian journal of nondestructive testing (01-04-2004)
    “…The problem of automating detection of flaws (gas pockets and spills) in welds obtained by electron-beam welding, using the ultrasonic echo method which is…”
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    Multiple operator integrals, Haagerup and Haagerup‐like tensor products, and operator ideals by Aleksandrov, A. B., Peller, V. V.

    “…We study Schatten–von Neumann properties of multiple operator integrals with integrands in the Haagerup tensor product of L∞ spaces. We obtain sharp, best…”
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    Commutator Lipschitz Functions and Analytic Continuation by Aleksandrov, A. B.

    “…Let F 0 and F be perfect subsets of the complex plane ℂ. Assume that F 0 ⊂ F and the set Ω = d e f F \ F 0 is open. We say that a continuous function f : F → ℂ…”
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    Functions of almost commuting operators and an extension of the Helton–Howe trace formula by Aleksandrov, A.B., Peller, V.V.

    Published in Journal of functional analysis (01-12-2016)
    “…Let A and B be almost commuting (i.e., the commutator AB−BA belongs to trace class) self-adjoint operators. We construct a functional calculus φ↦φ(A,B) for…”
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    Operator Hölder–Zygmund functions by Aleksandrov, A.B., Peller, V.V.

    Published in Advances in mathematics (New York. 1965) (01-06-2010)
    “…It is well known that a Lipschitz function on the real line does not have to be operator Lipschitz. We show that the situation changes dramatically if we pass…”
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