Abstract
Let
and ℬ be Banach algebras. Let ℳ be a Banach
with bounded 1. Then
is a Banach algebra with the usual operations and the norm \( \left\| {\left[ {_0^A } \right.} \right.\left. {\left. {_B^M } \right]} \right\| = \left\| A \right\| + \left\| M \right\| + \left\| B \right\| \). Such an algebra is called a triangular Banach algebra. In this paper the isometric isomorphisms of triangular Banach algebras are characterized.
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Jianwen, L., Fangyan, L. Isometric isomorphisms of triangular Banach algebras. Appl. Math. Chin. Univ. 15, 403–408 (2000). https://doi.org/10.1007/s11766-000-0037-0
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DOI: https://doi.org/10.1007/s11766-000-0037-0