Geodesic
The Resonance Theorem for Subspaces
Matematičeskie zametki, Tome 95 (2014) no. 6, pp. 803-811

Voir la notice de l'article provenant de la source Math-Net.Ru

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, Hahn–Banach theorem.
Mots-clés : set of divergence 
@article{MZM_2014_95_6_a0,
     author = {E. I. Berezhnoi},
     title = {The {Resonance} {Theorem} for {Subspaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {803--811},
     publisher = {mathdoc},
     volume = {95},
     number = {6},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_6_a0/}
}
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E. I. Berezhnoi. The Resonance Theorem for Subspaces. Matematičeskie zametki, Tome 95 (2014) no. 6, pp. 803-811. http://geodesic.mathdoc.fr/item/MZM_2014_95_6_a0/