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The Noncommutative Singer–Wermer Conjecture and ϕ‐Derivations
Author(s) -
Brešar M.,
Villena A. R.
Publication year - 2002
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/s0024610702003721
Subject(s) - noncommutative geometry , conjecture , mathematics , banach algebra , algebra over a field , pure mathematics , noncommutative algebraic geometry , banach space , noncommutative quantum field theory
The question of when a ϕ‐derivation on a Banach algebra has quasinilpotent values, and how this question is related to the noncommutative Singer–Wermer conjecture, is discussed.