On the Strong Kreiss Resolvent Condition in the Hilbert Space

Gomilko, Alexander; Zemánek, Jaroslav

doi:10.1007/978-3-7643-9919-1_13

Alexander Gomilko⁴¹ &
Jaroslav Zemánek⁴²

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 190))

Abstract

It is proved that if an operator T on a Hilbert space satisfies the strong Kreiss resolvent condition then so does the operator T ^m for any m ∈ N.

Research partially supported by “TODEQ” MTKD-CT-2005-030042. The first author partially supported by grant 0107U000937, Ukraine.

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References

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Authors and Affiliations

Institute of Telecommunications and Global Information Space, National Academy of Sciences of Ukraine, 3, Chokolivsky Blvd., 03186, Kiev, Ukraine
Alexander Gomilko
Institute of Mathematics, Polish Academy of Sciences, P.O. Box 21, 00-956, Warsaw, Poland
Jaroslav Zemánek

Authors

Alexander Gomilko
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Jaroslav Zemánek
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Editors and Affiliations

Department of Theoretical Physics, Odessa National I.I. Mechnikov University, Dvoryanska st. 2, 65026, Odessa, Ukraine
Vadim M. Adamyan
Department of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978, Ramat Aviv, Israel
Israel Gohberg
Institute of Mathematics, Ukrainian National Academy of Sciences, Tereshchenkivska st., 01601, Kyiv-4, Ukraine
Anatoly Kochubei , Yurij Berezansky , Myroslav Gorbachuk & Valentyna Gorbachuk , , &
Department of Mathematical Physics, Odessa National I.I. Mechnikov University, Dvoryanska st. 2, 65026, Odessa, Ukraine
Gennadiy Popov
Institute of Analysis and Scientific Computing, Technical University of Vienna, Wiedner Hauptstrasse 8-10, 1040, Vienna, Austria
Heinz Langer

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Gomilko, A., Zemánek, J. (2009). On the Strong Kreiss Resolvent Condition in the Hilbert Space. In: Adamyan, V.M., et al. Modern Analysis and Applications. Operator Theory: Advances and Applications, vol 190. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-9919-1_13

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DOI: https://doi.org/10.1007/978-3-7643-9919-1_13
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-9918-4
Online ISBN: 978-3-7643-9919-1
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