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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.