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On The Geometry Of The Multiplier Space Of ℓPA, Christopher Felder, Raymond Cheng
On The Geometry Of The Multiplier Space Of ℓPA, Christopher Felder, Raymond Cheng
Mathematics & Statistics Faculty Publications
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 extremal multipliers on the ℓpA spaces are exactly the monomials, in stark contrast to the p = 2 case.