Conditions for massiveness of the range of the derivation of a Banach algebra and associated differential operators

DOI10.1007/BF01240459zbMath0638.46034MaRDI QIDQ1099372

Viktor S. Shul'man, Yuriĭ V. Turovskiĭ

Publication date: 1987

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

subadditivitymassive setcharacterization of elements which are nilpotent or algebraic modulo radicalcontinuity of the spectral radiusderivation of a Banach algebraoperators of differentiation

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) General theory of topological algebras (46H05)

Related Items

On commutators and derivations in rings., Generalized derivations preserving quasinilpotent elements in Banach algebras, On the composition of \(q\)-skew derivations in Banach algebras, Extended Jacobson density theorem for rings with derivations and automorphisms, Topological radicals, VI. Scattered elements in Banach Jordan and associative algebras

Cites Work

• Derivations on \(B({\mathcal H})\): The range
• Derivations on commutative normed algebras
• Propriétés spectrales des algèbres de Banach
• The uniqueness of the (complete) norm topology
• The Unboundedness of Quantum-Mechanical Matrices
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