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 |
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| container_end_page | 12 |
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| container_title | Siberian mathematical journal |
| container_volume | 64 |
| creator | Astashkin, S. V. |
| description | 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. |
| doi_str_mv | 10.1134/S0037446623010019 |
| format | Article |
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, with
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| identifier | ISSN: 0037-4466 |
| ispartof | Siberian mathematical journal, 2023, Vol.64 (1), p.1-12 |
| issn | 0037-4466 1573-9260 |
| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Dilation Invariants Mathematics Mathematics and Statistics |
| title | Spectral Properties of the Dilation Operator in Rearrangement Invariant Spaces of Fundamental Type |
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