Results 11 to 20 of about 60,735 (247)
Approximation results for reflectionless Jacobi matrices [PDF]
International Mathematics Research Notices, 2010 We study spaces of reflectionless Jacobi matrices. The main theme is the following type of question: Given a reflectionless Jacobi matrix, is it possible to approximate it by other reflectionless and, typically, simpler Jacobi matrices of a special type?
Poltoratski, Alexei, Remling, Christian
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A Strong Szego Theorem for Jacobi Matrices [PDF]
Communications in Mathematical Physics, 2006 We use a classical result of Gollinski and Ibragimov to prove an analog of the strong Szego theorem for Jacobi matrices on $l^2(\N)$. In particular, we consider the class of Jacobi matrices with conditionally summable parameter sequences and find ...
B.L. Golinskii +8 more
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Deficiency Indices of Block Jacobi Matrices: Survey
Contemporary Mathematics. Fundamental Directions, 2021 The paper is a survey and concerns with infinite symmetric block Jacobi matrices J with mm-matrix entries. We discuss several results on general block Jacobi matrices to be either self-adjoint or have maximal as well as intermediate deficiency indices. We also discuss several conditions for J to have discrete spectrum.
V. S. Budyka, M. M. Malamud, K. Mirzoev
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Jacobi matrices and transversality
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1988 SynopsisThe paper deals with smooth nonlinear ODE systems in ℝn, ẋ = f(x), such that the derivative f′(x) has a matrix representation of Jacobi type (not necessarily symmetric) with positive off diagonal entries. A discrete functional is introduced and is discovered to be nonincreasing along the solutions of the associated linear variational system ẏ =
Giorgio Fusco, Waldyr M. Oliva
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CAPACITIES AND JACOBI MATRICES [PDF]
Proceedings of the Edinburgh Mathematical Society, 2003 AbstractIn this paper, we use the theorem of Burchnall and Shaundy to give the capacity of the spectrum $\sigma(A)$ of a periodic tridiagonal and symmetric matrix. A special family of Chebyshev polynomials of $\sigma(A)$ is also given. In addition, the inverse problem is considered: given a finite union $E$ of closed intervals, we study the conditions ...
Sebbar, Ahmed, Falliero, Thérèse
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On the Spectra of Jacobi Matrices
Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics, 1976 Katsuo Takano
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Periodic Jacobi matrices on trees
Advances in Mathematics, 2020 appeared as Adv. Math.
Avni, Nir +2 more
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Jacobi matrices on trees [PDF]
Colloquium Mathematicum, 2010 Symmetric Jacobi matrices on one sided homogeneous trees are studied. Essential selfadjointness of these matrices turns out to depend on the structure of the tree. If a tree has one end and infinitely many origin points the matrix is always essentially selfadjoint independently of the growth of its coefficients.
Kazun, Agnieszka M., Szwarc, Ryszard
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A Note on Reflectionless Jacobi Matrices [PDF]
Communications in Mathematical Physics, 2014 The property that a Jacobi matrix is reflectionless is usually characterized either in terms of Weyl m-functions or the vanishing of the real part of the boundary values of the diagonal matrix elements of the resolvent. We introduce a characterization in terms of stationary scattering theory (the vanishing of the reflection coefficients) and prove that
Jaksic, Vojkan +2 more
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On the fine spectra of the Jacobi matrices on c_0,c,l_p (1≤p≤∞) and 〖bv〗_p (1≤p
Cumhuriyet Science Journal, 2021 The spectrum and spectral divisions of band matrices are very new and popular topics of studies. In this paper, our aims are to investigate boundedness of Jacobi matrix which is a band matrix has important role in physics and give subdivisions of the ...
Mustafa Yıldırım +2 more
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