Search Results - "Makarov, Konstantin A."
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On Krein's example
Published in Proceedings of the American Mathematical Society (01-06-2008)“…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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The index formula and the spectral shift function for relatively trace class perturbations
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
Evans functions, jost functions, and fredholm determinants
Published in Archive for rational mechanics and analysis (01-12-2007)“…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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Essential Closures and AC Spectra for Reflectionless CMV, Jacobi, and Schrödinger Operators Revisited
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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An Addendum to Krein's Formula
Published in Journal of mathematical analysis and applications (15-06-1998)“…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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On a subspace perturbation problem
Published in Proceedings of the American Mathematical Society (01-11-2003)“…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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The Ξ operator and its relation to Krein's spectral shift function
Published in Journal d'analyse mathématique (Jerusalem) (01-01-2000)“…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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On Invariant Graph Subspaces
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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Ahiezer-Kac type Fredholm determinant asymptotics for convolution operators with rational symbols
Published in Transactions of the American Mathematical Society (01-05-2001)“…Fredholm determinant asymptotics of convolution operators on large finite intervals with rational symbols having real zeros are studied. The explicit…”
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On a Perturbation Determinant for Accumulative Operators
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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On the Weak and Ergodic Limit of the Spectral Shift Function
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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Extension of the Ahiezer-Kac Determinant Formula to the Case of Real-Valued Symbols with Two Real Zeros
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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REPRESENTATION THEOREMS FOR INDEFINITE QUADRATIC FORMS REVISITED
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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The L-system representation and c-entropy
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
The Birman–Schwinger principle in von Neumann algebras of finite type
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
Essential Closures and AC Spectra for Reflectionless CMV, Jacobi, and Schroedinger Operators Revisited
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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17
Uniqueness Results for Matrix-Valued Schrödinger, Jacobi, and Dirac-Type Operators
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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(Modified) Fredholm Determinants for Operators with Matrix-Valued Semi-Separable Integral Kernels Revisited
Published in Integral equations and operator theory (01-04-2004)Get full text
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Erratum: (Modified) Fredholm Determinants for Operators with Matrix-Valued Semi-Separable Integral Kernels Revisited
Published in Integral equations and operator theory (01-03-2004)Get full text
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ADVANCED METHODS FOR MANUFACTURE OF PIPING ELEMENTS IN AIRBORN VEHICLES
Published in Učenye zapiski Komsomolʹskogo-na-Amure gosudarstvennogo tehničeskogo universiteta (30-06-2012)Get full text
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