Left Derivable Maps at Non-Trivial Idempotents on Nest Algebras
Let Alg 𝒩 be a nest algebra associated with the nest 𝒩 on a (real or complex) Banach space 𝕏. Suppose that there exists a non-trivial idempotent P ∈ Alg 𝒩 with range P (𝕏) ∈ 𝒩, and δ : Alg 𝒩 → Alg 𝒩 is a continuous linear mapping (generalized) left derivable at P, i.e. δ (ab) = aδ (b) + bδ (a) (δ (a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2019-09-01
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| Series: | Annales Mathematicae Silesianae |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/amsil.2019.33.issue-1/amsil-2019-0001/amsil-2019-0001.xml?format=INT |