Search Results - "Makarov, Konstantin A."

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  1. 1

    On Krein's example by Kostrykin, Vadim, Makarov, Konstantin A.

    “…In his 1953 paper [Matem. Sbornik \textbf{33} (1953), 597--626] Mark Krein presented an example of a symmetric rank one perturbation of a self-adjoint operator…”
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  2. 2

    The index formula and the spectral shift function for relatively trace class perturbations by Gesztesy, Fritz, Latushkin, Yuri, Makarov, Konstantin A., Sukochev, Fedor, Tomilov, Yuri

    Published in Advances in mathematics (New York. 1965) (01-05-2011)
    “…We compute the Fredholm index, index ( D A ) , of the operator D A = ( d / d t ) + A on L 2 ( R ; H ) associated with the operator path { A ( t ) } t = − ∞ ∞ ,…”
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  3. 3

    Evans functions, jost functions, and fredholm determinants by GESZTESY, Fritz, LATUSHKIN, Yuri, MAKAROV, Konstantin A

    “…The principal results of this paper consist of an intrinsic definition of the Evans function in terms of newly introduced generalized matrix-valued Jost…”
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  4. 4

    Essential Closures and AC Spectra for Reflectionless CMV, Jacobi, and Schrödinger Operators Revisited by Gesztesy, Fritz, Makarov, Konstantin A., Zinchenko, Maxim

    Published in Acta applicandae mathematicae (01-09-2008)
    “…We provide a concise, yet fairly complete discussion of the concept of essential closures of subsets of the real axis and their intimate connection with the…”
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  5. 5

    An Addendum to Krein's Formula by Gesztesy, Fritz, Makarov, Konstantin A, Tsekanovskii, Eduard

    “…We provide additional results in connection with Krein's formula, which describes the resolvent difference of two self-adjoint extensionsA1andA2of a densely…”
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  6. 6

    On a subspace perturbation problem by Kostrykin, Vadim, Makarov, Konstantin A., Motovilov, Alexander K.

    “…We discuss the problem of perturbation of spectral subspaces for linear self-adjoint operators on a separable Hilbert space. Let A and V be bounded…”
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  7. 7

    The Ξ operator and its relation to Krein's spectral shift function by Gesztesy, Fritz, Makarov, Konstantin A.

    “…We explore connections between Krein's spectral shift function ζ(λ,H0, H) associated with the pair of self-adjoint operators (H0, H),H=H0+V, in a Hilbert…”
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  8. 8

    On Invariant Graph Subspaces by Makarov, Konstantin A., Schmitz, Stephan, Seelmann, Albrecht

    Published in Integral equations and operator theory (01-07-2016)
    “…In this paper we discuss the problem of decomposition for unbounded 2 × 2 operator matrices by a pair of complementary invariant graph subspaces. Under mild…”
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  9. 9

    Ahiezer-Kac type Fredholm determinant asymptotics for convolution operators with rational symbols by Albeverio, Sergio, Makarov, Konstantin A.

    “…Fredholm determinant asymptotics of convolution operators on large finite intervals with rational symbols having real zeros are studied. The explicit…”
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  10. 10

    On a Perturbation Determinant for Accumulative Operators by Makarov, Konstantin A., Skripka, Anna, Zinchenko, Maxim

    Published in Integral equations and operator theory (01-03-2015)
    “…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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  11. 11

    On the Weak and Ergodic Limit of the Spectral Shift Function by Borovyk, Vita, Makarov, Konstantin A.

    Published in Letters in mathematical physics (01-04-2012)
    “…We investigate convergence properties of the spectral shift functions associated with a pair of Schrödinger operators with Dirichlet boundary conditions at the…”
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  12. 12

    Extension of the Ahiezer-Kac Determinant Formula to the Case of Real-Valued Symbols with Two Real Zeros by Albeverio, Sergio, Makarov, Konstantin A

    Published in Acta applicandae mathematicae (01-06-2000)
    “…The Fredholm determinant asymptotics for self-adjoint convolution operators on finite intervals with real symbols vanishing on the real axis is studied…”
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  13. 13

    REPRESENTATION THEOREMS FOR INDEFINITE QUADRATIC FORMS REVISITED by Grubišić, Luka, Kostrykin, Vadim, Makarov, Konstantin A., Veselić, Krešimir

    Published in Mathematika (01-01-2013)
    “…The first and second representation theorems for sign-indefinite, not necessarily semi-bounded quadratic forms are revisited. New and straightforward proofs of…”
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  14. 14

    The L-system representation and c-entropy by Belyi, Sergey, Makarov, Konstantin A, Tsekanovskii, Eduard

    Published 11-06-2023
    “…Given a symmetric operator $\dot A$ with deficiency indices $(1,1)$ and its self-adjoint extension $A$ in a Hilbert space $\mathcal{H}$, we construct a…”
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  15. 15

    The Birman–Schwinger principle in von Neumann algebras of finite type by Kostrykin, Vadim, Makarov, Konstantin A., Skripka, Anna

    Published in Journal of functional analysis (15-06-2007)
    “…We introduce a relative index for a pair of dissipative operators in a von Neumann algebra of finite type and prove an analog of the Birman–Schwinger principle…”
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  16. 16

    Essential Closures and AC Spectra for Reflectionless CMV, Jacobi, and Schroedinger Operators Revisited by Gesztesy, Fritz, Makarov, Konstantin A, Zinchenko, Maxim

    Published in Acta applicandae mathematicae (01-09-2008)
    “…We provide a concise, yet fairly complete discussion of the concept of essential closures of subsets of the real axis and their intimate connection with the…”
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    Journal Article
  17. 17

    Uniqueness Results for Matrix-Valued Schrödinger, Jacobi, and Dirac-Type Operators by Gesztesy, Fritz, Kiselev, Alexander, Makarov, Konstantin A.

    Published in Mathematische Nachrichten (01-06-2002)
    “…Let g(z, x) denote the diagonal Green's matrix of a self‐adjoint m × m matrix‐valued Schrödinger operator…”
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