Composition, numerical range and Aron-Berner extension
DOI:
https://doi.org/10.7146/math.scand.a-15071Abstract
Given an entire mapping f∈Hb(X,X) of bounded type from a Banach space X into X, we denote by ¯f the Aron-Berner extension of f to the bidual X∗∗ of X. We show that ¯g∘f=¯g∘¯f for all f,g∈Hb(X,X) if X is symmetrically regular. We also give a counterexample on l1 such that the equality does not hold. We prove that the closure of the numerical range of f is the same as that of ˉf.Downloads
Published
2008-09-01
How to Cite
Choi, Y. S., García, D., Kim, S. G., & Maestre, M. (2008). Composition, numerical range and Aron-Berner extension. MATHEMATICA SCANDINAVICA, 103(1), 97–110. https://doi.org/10.7146/math.scand.a-15071
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