About: Transfinite ranges and the local spectrum

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Let T be a Banach space operator. For ordinal numbers α we define the α-ranges Rα(T) which generalize the ranges of powers R(Tn). The intersection αRα(T) is the coeur algébrique of T. Moreover, the coeur algébrique (and more generally the α-ranges for limit ordinals α) have similar properties as the coeur analytique of T. So it is possible to introduce algebraic local spectra which have properties analogous to those of classical (analytic) local spectra studied in local spectral theory. Let T be a Banach space operator. For ordinal numbers α we define the α-ranges Rα(T) which generalize the ranges of powers R(Tn). The intersection αRα(T) is the coeur algébrique of T. Moreover, the coeur algébrique (and more generally the α-ranges for limit ordinals α) have similar properties as the coeur analytique of T. So it is possible to introduce algebraic local spectra which have properties analogous to those of classical (analytic) local spectra studied in local spectral theory. (en)
Title	Transfinite ranges and the local spectrum Transfinite ranges and the local spectrum (en)
skos:prefLabel	Transfinite ranges and the local spectrum Transfinite ranges and the local spectrum (en)
skos:notation	RIV/67985840:_____/13:00385128!RIV13-AV0-67985840
http://linked.open...avai/predkladatel	Matematický ústav AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA201/09/0473), P(IAA100190903)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Müller, Vladimír
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	111559
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/13:00385128
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	transfinite ranges; Coeur algébrique; local spectrum (en)
http://linked.open.../riv/klicoveSlovo	Coeur algébrique local spectrum transfinite ranges
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[F0B53088EC6E]
http://linked.open...i/riv/nazevZdroje	Journal of Mathematical Analysis and Applications
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Methods of function theory and Banach algebras in operator theory IV Orbits, invariant subspaces and positivity in operator theory
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	398
http://linked.open...iv/tvurceVysledku	Müller, Vladimír Cho, M. Harte, R.
http://linked.open...ain/vavai/riv/wos	000310659500034
issn	0022-247X
number of pages	6 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.jmaa.2012.08.056

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