On Livšic—Brodskii Nodes with Strongly Regular J-Inner Characteristic Matrix Functions in the Hardy Class

Arova, Zoya D.

doi:10.1007/978-3-0348-8374-0_4

Zoya D. Arova⁵

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 127))

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Abstract

The class of strongly regular J-inner matrix functions (m.f.’s) U _sR (J) was introduced and investigated in the paper [ArD]. In this paper we investigate the Livšic—Brodskii nodes with strongly regular J-inner characteristic m.f.’s of Hardy class. In particular, we prove that the basic operator of such a node is similar to a dissipative operator.

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Authors and Affiliations

Department of Mathematics, Odessa State Academy of Food Technology, Kanatnaya 112, Odessa, Ukraine
Zoya D. Arova

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Zoya D. Arova
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Editors and Affiliations

University of Szeged, Aradi Vértanuúk Tere 1, 6720, Szeged, Hungary
László Kérchy
School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978, Israel
I. Gohberg
Department of Mathematics, Indiana University, Bloomington, IN, 47405-4301, USA
Ciprian I. Foias
Mathematik, Technische Universität Wien, Wiedner Hauptstrasse 8-10/1411, 1040, Wien, Austria
H. Langer

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Arova, Z.D. (2001). On Livšic—Brodskii Nodes with Strongly Regular J-Inner Characteristic Matrix Functions in the Hardy Class. In: Kérchy, L., Gohberg, I., Foias, C.I., Langer, H. (eds) Recent Advances in Operator Theory and Related Topics. Operator Theory: Advances and Applications, vol 127. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8374-0_4

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DOI: https://doi.org/10.1007/978-3-0348-8374-0_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9539-2
Online ISBN: 978-3-0348-8374-0
eBook Packages: Springer Book Archive

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