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Isolated point of spectrum ofP-hyponormal, log-hyponormal operators

Joint hyponormality of composition operators with linear fractional symbols

Alternative approaches to the absolute continuity of Jacobi matrices with monotonic weights

Small compact perturbation of strongly irreducible operators

OnJ-conservative scattering system realizations in several variables

Expansion of the boundaries of the solutions of the linear Volterra integral equations with convolution kernel

Composition operators from large weighted Hardy spaces into the Dirichlet space

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Alternative approaches to the absolute continuity of Jacobi matrices with monotonic weights

Content Provider	Springer Nature Link
Author	Janas, Jan Moszyński, Marcin
Copyright Year	2002
Abstract	We present two approaches to the spectral studies for infinite Jacobi matrices with monotonic or “near-to-monotonic” weights. The first one is based on the subordination theory due to Khan and Pearson [17] combined with the detailed analysis of the transfer matrices for the solutions of the formal eigenequation. The second one uses an extension of the commutator approach developed by Putnam in [19]. Applying these methods we prove the absolute continuity for several classes of weights and diagonals. For some other cases we prove the emptiness of the point spectrum. The results are illustrated with examples and compared with the results of Dombrowski [7]-[13], Clark [2] and of Máté and Nevai [18]. We show that some of our results are stronger.
Starting Page	397
Ending Page	416
Page Count	20
File Format	PDF
ISSN	0378620X
Journal	Integral Equations and Operator Theory
Volume Number	43
Issue Number	4
e-ISSN	14208989
Language	English
Publisher	Birkhäuser-Verlag
Publisher Date	2002-01-01
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Analysis
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Analysis

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