On the Geometry of the Multiplier Space of ℓ^p_A

Authors

Christopher Felder
Raymond Cheng, Old Dominion UniversityFollow

Document Type

Article

Publication Date

2022

DOI

10.1515/conop-2022-0126

Publication Title

Concrete Operators

Volume

9

Issue

1

Pages

41-52

Abstract

For p ∊ (1, ∞)\ {2}, some properties of the space M_p of multipliers on ℓ^p_A are derived. In particular, the failure of the weak parallelogram laws and the Pythagorean inequalities is demonstrated for M_p. It is also shown that extremal multipliers on the ℓ^p_A spaces are exactly the monomials, in stark contrast to the p = 2 case.

Comments

© 2022 Christopher Felder and Raymond Cheng

This work is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Original Publication Citation

Felder, C., & Cheng, R. (2022). On the geometry of the multiplier space of L^p_A. Concrete Operators, 9(1), 41-52. https://doi.org/10.1515/conop-2022-0126

Repository Citation

Felder, Christopher and Cheng, Raymond, "On the Geometry of the Multiplier Space of ℓ^p_A" (2022). Mathematics & Statistics Faculty Publications. 211.
https://digitalcommons.odu.edu/mathstat_fac_pubs/211