On basicity in Bochner space Lp ((−π, π) ; X) and Riesz property

The Bochner space Lp ((0, 2) ; X) , 1 p < +, is considered, in which the periodic Hilbert transform is bounded.Based on this property, it is proved that the family of subspaceskZ , generated by exponential system e ikt kZ , forms a basis for Lp ((0, 2) ; X).Moreover, it is proved that this system possesses the Riesz property.

Publication Details

Journal
TRANSACTIONS ISSUE MATHEMATICS
Published
2025-01-01
DOI
https://doi.org/10.30546/2617-7900.45.1.2025.0115
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
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article

On basicity in Bochner space Lp ((−π, π) ; X) and Riesz property

TRANSACTIONS ISSUE MATHEMATICS
Advanced Banach Space Theory
article

On basicity in Bochner space Lp ((−π, π) ; X) and Riesz property

article en

Abstract

The Bochner space Lp ((0, 2) ; X) , 1 p < +, is considered, in which the periodic Hilbert transform is bounded.Based on this property, it is proved that the family of subspaceskZ , generated by exponential system e ikt kZ , forms a basis for Lp ((0, 2) ; X).Moreover, it is proved that this system possesses the Riesz property.

TRANSACTIONS ISSUE MATHEMATICS
Openalex Percentile: Top 81%
Advanced Banach Space Theory
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On basicity in Bochner space Lp ((−π, π) ; X) and Riesz property · TRANSACTIONS ISSUE MATHEMATICS (2025) | TGRS Research Map | TGRS