논문KCI 등재
Spectrally Bounded Higher Derivations Mapping into the Jacobson Radical
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참고문헌
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초록
We obtain commutativity-free characterizations of higher derivations on a unital Banach algebra that map into its Jacobson radical. We also investigate the spectral boundedness of generalized higher derivations.
Abstract
We obtain commutativity-free characterizations of higher derivations on a unital Banach algebra that map into its Jacobson radical. We also investigate the spectral boundedness of generalized higher derivations.
참고문헌 (7)
- M. Bresar, "On the distance of the compositions of two derivations to the generalized derivations", Glasgow Math. J., 33, pp.89~93 (1991)
- M. Bresar, "Derivations mapping into the radical, III", J. Func. Anal., 133, pp.21~29 (1995)
- N. P. Jewell, "Continuity of module and higher derivations", Pacific J. Math., 68, pp.91~98 (1977)
- K. -W. Jun, "The image of a continuous strong higher derivation is contained in the radical", Bull. Korean Math. Soc., 33, pp.229~233 (1996)
- R. J. Roy, "A class of topological algebras of formal power series" (1969)
- I. M. Singer, "Derivations on commutative normed algebras", Math. Ann., 129, pp.260~264 (1955)
- M. P. Thomas, "The image of a derivation is contained in the radical", Ann. of Math., 128(2), pp.435~460 (1988)
관련 논문AI추천
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