Open AccessQuotients of Local Banach Algebras are Local Banach Algebras
Author(s) -
Lothar M. Schmitt
Publication year - 1991
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1195169002
Subject(s) - mathematics , quotient , banach manifold , eberlein–šmulian theorem , pure mathematics , banach space , lp space
We show that quotients of local Banach algebras are local Banach algebras. This solves a problem posed by B. Blackadar in his book on ^-Theory [BLAll. Furthermore our techniques allow to prove additional density Theorems for the ^-Theory of normed algebras stable under inverses and logarithms.
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