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Matematicheskie Zametki, 2014, Volume 95, Issue 6, Pages 803–811
DOI: https://doi.org/10.4213/mzm10250 (Mi mzm10250) 		 
The Resonance Theorem for Subspaces

E. I. Berezhnoi

P. G. Demidov Yaroslavl State University
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DOI: https://doi.org/10.4213/mzm10250
Abstract: Under some additional assumptions on an unbounded sequence of operators and the geometry of the spaces, it is shown that, in the classical Banach–Steinhaus resonance theorem, the set of divergence contains an infinite-dimensional space, excluding zero.
Keywords: Banach–Steinhaus resonance theorem, Banach space, Banach couple, linear operator, set of divergence, Hahn–Banach theorem.
Received: 08.02.2013
Revised: 07.10.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 6, Pages 753–759
DOI: https://doi.org/10.1134/S0001434614050186
Bibliographic databases:
Document Type: Article
UDC: 517.5+513.88
Language: Russian
Citation: E. I. Berezhnoi, “The Resonance Theorem for Subspaces”, Mat. Zametki, 95:6 (2014), 803–811; Math. Notes, 95:6 (2014), 753–759
Citation in format AMSBIB
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