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Sufficient and necessary conditions for generalized Hölder's inequality in p-summable sequence spaces

2018/12/16 by Al Azhary Masta, Siti Fatimah, Masta, Al Azhary +7
Computer Science · Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1812.06612

openalex publication_date 2018/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we discuss the generalized Hölder's inequality in p-summable sequence spaces. In particular, we shall prove sufficient and necessary conditions for generalized Hölder's inequality in those spaces. One of the keys to prove our results is to estimate the norms of characteristic sequences in ℝ.

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