Polynomially compact elements of Banach algebras
V. Rakočević (1984)
Matematički Vesnik
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V. Rakočević (1984)
Matematički Vesnik
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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.
Jochen Reinermann (1970)
Annales Polonici Mathematici
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J. R. Holub (1971)
Colloquium Mathematicae
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Stanisław Szufla (1977)
Annales Polonici Mathematici
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K. Goebel, E. Złotkiewicz (1971)
Colloquium Mathematicae
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S. Levi (1982)
Banach Center Publications
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Wiesław Żelazko (2009)
Banach Center Publications
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We present here some evidence of the activity of Banach Lwów School of functional analysis in the field of topological algebras. We shall list several results connected with such names as Stanisław Mazur (1905-1981), Maks (Meier) Eidelheit (1910-1943), Stefan Banach (1892-1945) and Andrzej Turowicz (1904-1989) showing that if the war had not interrupted this activity we could expect more interesting results in this direction.
El Harti, R. (2004)
International Journal of Mathematics and Mathematical Sciences
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V. Lakshmikantham, A. R. Mitchell, R. W. Mitchell (1978)
Annales Polonici Mathematici
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Stanisław Szufla (2009)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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H. G. Dales, Niels Jakob Laustsen, Charles J. Read (2003)
Studia Mathematica
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A properly infinite C*-algebra has no non-zero traces. We construct properly infinite Banach *-algebras with non-zero, bounded traces, and show that there are even such algebras which are fairly "close" to the class of C*-algebras, in the sense that they can be hermitian or *-semisimple.
Stephen A. Saxon, Albert Wilansky (1977)
Colloquium Mathematicae
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