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- W2038964585 abstract "Let T be a Banach space operator. For ordinal numbers α we define the α -ranges R α ( T ) which generalize the ranges of powers R ( T n ) . The intersection ⋂ α R α ( 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." @default.
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- W2038964585 date "2013-02-01" @default.
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- W2038964585 title "Transfinite ranges and the local spectrum" @default.
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- W2038964585 doi "https://doi.org/10.1016/j.jmaa.2012.08.056" @default.
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