The Second Transpose of a Derivation | Zendy

Dales, H. G. | Zendy; Rodríguez-Palacios A. | Zendy; Velasco M. V. | Zendy

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The Second Transpose of a Derivation

Author(s) -

Dales, H. G.,

Rodríguez-Palacios A.,

Velasco M. V.

Publication year - 2001

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/s0024610701002496

Subject(s) - transpose , mathematics , dual (grammatical number) , algebra over a field , pure mathematics , product (mathematics) , space (punctuation) , banach algebra , banach space , discrete mathematics , computer science , physics , geometry , philosophy , linguistics , eigenvalues and eigenvectors , quantum mechanics , operating system

Let A be a Banach algebra, and let D : A → A * be a continuous derivation, where A * is the topological dual space of A . The paper discusses the situation when the second transpose D**: A ** → ( A **)* is also a derivation in the case where A ** has the first Arens product.

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