Spectral Properties of the Dilation Operator in Rearrangement Invariant Spaces of Fundamental Type

Spectral Properties of the Dilation Operator in Rearrangement Invariant Spaces of Fundamental Type

We describe the spectral properties of the dilation operator , with , in separable rearrangement invariant spaces of fundamental type. We show that these properties are determined by the values of the dilation indices of the spaces and apply the results to Orlicz spaces.

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Veröffentlicht in:Siberian mathematical journal 2023, Vol.64 (1), p.1-12
1. Verfasser: Astashkin, S. V.
Format: Artikel
Sprache:eng
Schlagworte:
Dilation
Invariants
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:We describe the spectral properties of the dilation operator , with , in separable rearrangement invariant spaces of fundamental type. We show that these properties are determined by the values of the dilation indices of the spaces and apply the results to Orlicz spaces.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446623010019