On innerness of derivations on .
Barrenechea, A.L., Peña, C.C. (2005)
Lobachevskii Journal of Mathematics
Joaquim Bruna (1981)
Studia Mathematica
Andrzej Sołtysiak (1989)
Colloquium Mathematicae
Andrzej Sołtysiak (2006)
Studia Mathematica
We present several notions of joint spectral radius of mutually commuting elements of a locally convex algebra and prove that all of them yield the same value in case the algebra is pseudo-complete. This generalizes a result proved by the author in 1993 for elements of a Banach algebra.
Oukhouya, Ali (2006)
Serdica Mathematical Journal
2000 Mathematics Subject Classification: Primary 46H05, 46H20; Secondary 46M20.Every unital "combinatorially regular" commutative uniform complete locally m-convex algebra is local.
S. Rolewicz (2000)
Banach Center Publications
It is a survey talk concerning locally bounded algebras.
Nguyen Van Khue (1987)
Colloquium Mathematicae
Jorma Arhippainen (1995)
Publicacions Matemàtiques
Let A be an algebra over the field of complex numbers with a (Hausdorff) topology given by a family Q = {qλ|λ ∈ Λ} of square preserving rλ-homogeneous seminorms (rλ ∈ (0, 1]). We shall show that (A, T(Q)) is a locally m-convex algebra. Furthermore we shall show that A is commutative.
Yannis Tsertos (2005)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
W. Żelazko (1973)
Colloquium Mathematicae
W. Żelazko (1971)
Studia Mathematica
Istratescu, Vasile I., Constantin, Gheorghe (1983/1984)
Portugaliae mathematica
Ziya Argün, K. Rowlands (1994)
Studia Mathematica
Heinrich Raubenheimer (2010)
Czechoslovak Mathematical Journal
We characterize elements in a semisimple Banach algebra which are quasinilpotent equivalent to maximal finite rank elements.
Gerd Herzog, Roland Lemmert (1998)
Studia Mathematica
Let a real Banach algebra A with unit be ordered by an algebra cone K. We study the elements a ∈ A with exp(ta) ∈ K, t≥ 0.
T. Mouton, H. Raubenheimer (1993)
Studia Mathematica
We give a spectral characterisation of rank one elements and of the socle of a semisimple Banach algebra.
Robin Harte (1995)
Studia Mathematica
Without the "scarcity lemma", two kinds of "rank one elements" are identified in semisimple Banach algebras.
L. Lindeboom, H. Raubenheimer (2002)
Czechoslovak Mathematical Journal
We investigate the relationship between the regularities and the Fredholm theory in a Banach algebra.
Dragomir, Sever S. (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Bohdan J. Tomiuk (1979)
Manuscripta mathematica