On some inequalities in normed algebras.
Displaying 241 – 260 of 409
On Some Properties of Segal Algebras and Their Multipliers.
Bohdan J. Tomiuk (1979)
Manuscripta mathematica
On spectral continuity of positive elements
S. Mouton (2006)
Studia Mathematica
Let x be a positive element of an ordered Banach algebra. We prove a relationship between the spectra of x and of certain positive elements y for which either xy ≤ yx or yx ≤ xy. Furthermore, we show that the spectral radius is continuous at x, considered as an element of the set of all positive elements y ≥ x such that either xy ≤ yx or yx ≤ xy. We also show that the property ϱ(x + y) ≤ ϱ(x) + ϱ(y) of the spectral radius ϱ can be obtained for positive elements y which satisfy at least one of the...
On splitting of extensions of rings and topological rings.
Abel, M. (2010)
Annals of Functional Analysis (AFA) [electronic only]
On the Barrelledness of a topological Algebra Relative to its Spectrum
Anastasios Mallios (1974)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
On the circle-exponent function
Yiannis Tsertos (1986)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
On the fundamental inequality in locally multiplicatively convex algebras
Dina Štěrbová (1983)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
On the ideal structure of algebras of LMC-algebra valued functions
Jorma Arhippainen (1992)
Studia Mathematica
Let X be a completely regular topological space and A a commutative locally m-convex algebra. We give a description of all closed and in particular closed maximal ideals of the algebra C(X,A) (= all continuous A-valued functions defined on X). The topology on C(X,A) is defined by a certain family of seminorms. The compact-open topology of C(X,A) is a special case of this topology.
On the joint spectral radii of commuting Banach algebra elements
Andrzej Sołtysiak (1993)
Studia Mathematica
Some inequalities are proved between the geometric joint spectral radius (cf. [3]) and the joint spectral radius as defined in [7] of finite commuting families of Banach algebra elements.
On the joint spectral radius
Vladimír Müller (1997)
Annales Polonici Mathematici
We prove the -spectral radius formula for n-tuples of commuting Banach algebra elements
On the largest generalized joint spectrum
Vladimír Müller, Andrzej Sołtysiak (1988)
Commentationes Mathematicae Universitatis Carolinae
On the left and right joint spectra in Banach algebras
Che-Kao Fong, Andrzej Sołtysiak (1990)
Studia Mathematica
On the locally -convex algebra and a differential-geometric interpretation of it.
Tsertos, Yannis (1997)
Portugaliae Mathematica
On the punctured neighbourhood theorem.
Robin Harte (1991)
Mathematische Zeitschrift
On the radical in Hermitian LMC algebras
Dina Štěrbová (1986)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
On the ranks of Elements of Semiprime Banach Algebras
Stavros Giotopoulos (2004)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
On the spectra of elements in certain algebras of vector valued functions and sequences.
Susanne Dierolf, Khin Aye Aye (1998)
Extracta Mathematicae
On the spectral radius in locally multiplicatively convex topological algebras
Dina Štěrbová (1977)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
On the structure of rank one elements in Banach algebras.
Rudi M. Brits, Lenore Lindeboom, Heinrich Raubenheimer (2003)
Extracta Mathematicae
On the ultrametric Stone-Weierstrass theorem and Mahler's expansion
Paul-Jean Cahen, Jean-Luc Chabert (2002)
Journal de théorie des nombres de Bordeaux
We describe an ultrametric version of the Stone-Weierstrass theorem, without any assumption on the residue field. If is a subset of a rank-one valuation domain , we show that the ring of polynomial functions is dense in the ring of continuous functions from to if and only if the topological closure of in the completion of is compact. We then show how to expand continuous functions in sums of polynomials.