Finite dimensionality in socle of Banach algebras.
Takahasi, Sin-Ei (1984)
International Journal of Mathematics and Mathematical Sciences
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Takahasi, Sin-Ei (1984)
International Journal of Mathematics and Mathematical Sciences
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Leoni Dalla, S. Giotopoulos, Nelli Katseli (1989)
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Wong, Pak-Ken (1991)
International Journal of Mathematics and Mathematical Sciences
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El Harti, R. (2004)
International Journal of Mathematics and Mathematical Sciences
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Burlando, Laura (1993)
International Journal of Mathematics and Mathematical Sciences
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Bertram Yood (2008)
Studia Mathematica
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The set of commutators in a Banach *-algebra A, with continuous involution, is examined. Applications are made to the case where A = B(ℓ₂), the algebra of all bounded linear operators on ℓ₂.
V. Rakočević (1984)
Matematički Vesnik
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T. Mouton, H. Raubenheimer (1993)
Studia Mathematica
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We give a spectral characterisation of rank one elements and of the socle of a semisimple Banach algebra.
Kim, Sung Guen (1993)
International Journal of Mathematics and Mathematical Sciences
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Bohdan Tomiuk, Bertram Yood (1989)
Studia Mathematica
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