On the geometry of the multiplier space of ℓpA

For p ∈ (1, ∞) \ {2}, some properties of the space ℳp of multipliers on ℓpA are derived. In particular, the failure of the weak parallelogram laws and the Pythagorean inequalities is demonstrated for ℳp. It is also shown that the extremal multipliers on the ℓpA spaces are exactly the monomials, in s...

Full description

Bibliographic Details
Main Authors: Felder Christopher, Cheng Raymond
Format: Article
Language:English
Published: De Gruyter 2022-05-01
Series:Concrete Operators
Subjects:
Online Access:https://doi.org/10.1515/conop-2022-0126