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On Inner Characterizations of Aõ‐Algebras and some Applications to Calkin Algebras and Symmetric Tensor‐Algebras
Author(s) -
Hofmann Gerald,
Löffler Frank
Publication year - 1990
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.3211480116
Subject(s) - mathematics , tensor (intrinsic definition) , pure mathematics , nest algebra , non associative algebra , quadratic algebra , interior algebra , algebra over a field , jordan algebra , algebra representation
Spacefree characterizations of A õ‐algebras are discussed, and their applications to (unbounded) Calkin algebras and symmetric tensor‐algebras are considered. For Calkin algebras, a sufficient condition for being an A õ‐algebra is provided. On symmetric tensor‐algebras, Õ‐lopologies are constructed and their relations to the well‐known topologies are examined.