Green Matrix Estimates of Block Jacobi Matrices II: Bounded Gap in the Essential Spectrum

Author:

Janas Jan,Naboko Sergey,Silva Luis O.ORCID

Funder

Consejo Nacional de Ciencia y Tecnologia (CONACyT), Mexico

UNAM-DGAPA-PAPIIT

RFBR

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Reference22 articles.

1. Akhiezer, N.I., Glazman, I.M.: Theory of Linear Operators in Hilbert Space. Dover Publications Inc., New York (1993). (Translated from the Russian and with a preface by Merlynd Nestell, Reprint of the 1961 and 1963 translations, Two volumes bound as one)

2. Barbaroux, J.M., Combes, J.M., Hislop, P.D.: Localization near band edges for random Schrödinger operators. Helv. Phys. Acta 70(1–2), 16–43 (1997). (Papers honouring the 60th birthday of Klaus Hepp and of Walter Hunziker, Part II (Zürich, 1995))

3. Berezans’kiĭ, J.M.: Expansions in eigenfunctions of selfadjoint operators. Translations of Mathematical Monographs, vol. 17. American Mathematical Society, Providence, R.I. (1968). (Translated from the Russian by R. Bolstein, J. M. Danskin, J. Rovnyak and L. Shulman)

4. Birman, M.S., Solomjak, M.Z.: Spectral Theory of Selfadjoint Operators in Hilbert Space. Mathematics and its Applications (Soviet Series). D. Reidel Publishing Co., Dordrecht (1978). (Translated from the 1980 Russian original by S. Khrushchëv and V, Peller)

5. Böttcher, A., Silbermann, B.: Analysis of Toeplitz Operators. Springer, Berlin (1990)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Estimates of Green matrix entries of selfadjoint unbounded block Jacobi matrices;St. Petersburg Mathematical Journal;2024-04-12

2. Sergey Naboko’s Legacy on the Spectral Theory of Jacobi Operators;From Complex Analysis to Operator Theory: A Panorama;2023

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