Results 21 to 30 of about 24,009 (200)
Fredholm determinants, Anosov maps and Ruelle resonances [PDF]
, 2005 I show that the dynamical determinant, associated to an Anosov diffeomorphism, is the Fredholm determinant of the corresponding Ruelle-Perron-Frobenius transfer operator acting on appropriate Banach spaces.
Liverani, Carlangelo
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Fredholm operators on C*-algebras [PDF]
Acta Scientiarum Mathematicarum, 2017 The aim of this note is to generalize the notion of Fredholm operator to an arbitrary $C^*$-algebra. Namely, we define "finite type" elements in an axiomatic way, and also we define Fredholm type element $a$ as such element of a given $C^*$-algebra for which there are finite type elements $p$ and $q$ such that $(1-q)a(1-p)$ is "invertible".
Kečkić, Dragoljub J., Lazović, Zlatko
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Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In the present article we investigate problems of tracking in the moving point control of thermal processes described by Fredholm integro-differential equations in partial derivatives with the Fredholm integral operator, in the case when the functions ...
A. Kerimbekov +2 more
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Fredholm Operators: A Counterexample [PDF]
Proceedings of the American Mathematical Society, 1969 In 1960 Pietsch [I] gave an example of a locally convex linear topological space for which the set of Fredholm operators is not open. It is the purpose of this note to show that the Fredholm class is not open for any weak locally convex space. A Hausdorff locally convex space is called a weak locally convex space if every null-neighborhood contains a ...
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Trace Formulas for a Class of non-Fredholm Operators: A Review [PDF]
, 2016 We review previous work on spectral flow in connection with certain self-adjoint model operators $\{A(t)\}_{t\in \mathbb{R}}$ on a Hilbert space $\mathcal{H}$, joining endpoints $A_\pm$, and the index of the operator $D_{A}^{}= (d/d t) + A$ acting in $L ...
Carey, Alan +6 more
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Block Toeplitz operators with frequency-modulated semi-almost periodic symbols
International Journal of Mathematics and Mathematical Sciences, 2003 This paper is concerned with the influence of frequency modulation on the semi-Fredholm properties of Toeplitz operators with oscillating matrix symbols.
A. Böttcher, S. Grudsky, I. Spitkovsky
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Weighted Frobenius-Perron operators and their spectra [PDF]
Mathematica Bohemica, 2017 First, some classic properties of a weighted Frobenius-Perron operator $\mathcal{P}_\varphi^u$ on $L^1(\Sigma)$ as a predual of weighted Koopman operator $W=uU_\varphi$ on $L^\infty(\Sigma)$ will be investigated using the language of the conditional ...
Mohammad Reza Jabbarzadeh +1 more
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Solvability conditions for some difference operators
Advances in Difference Equations, 2005 Infinite-dimensional difference operators are studied. Under the assumption that the coefficients of the operator have limits at infinity, limiting operators and associated polynomials are introduced.
V. A. Volpert, N. C. Apreutesei
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The Generalized Fredholm Operators [PDF]
Transactions of the American Mathematical Society, 1976 Let X, Y be Banach spaces over either the real field or the complex field. A continuous linear operator will be called a generalized Fredholm operator if T ( X ) T(X) is closed in Y, and Ker T and Coker T are reflexive Banach spaces.
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Left and Right B-Fredholm Operators
Ukrainian Mathematical Journal, 2022 UDC 517.9 We introduce the families of left and right B-Fredholm operators in Banach space, realize their stabilization with the help of finite-rank operators, and prove a spectral mapping theorem for the left and right B-Fredholm operators.
Abdmouleh, F., Lakhal, T. Ben
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