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Displaying 41 – 60 of 70

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 $_{p}$ -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 $m$ -convex algebra $L_{Γ} (E)$ 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 $E$ is a subset of a rank-one valuation domain $V$ , we show that the ring of polynomial functions is dense in the ring of continuous functions from $E$ to $V$ if and only if the topological closure $\hat{E}$ of $E$ in the completion $\hat{V}$ of $V$ is compact. We then show how to expand continuous functions in sums of polynomials.

On the uniform boundedness of elements of the type $exp (i h)$ in Hermitian lmc-algebras

Dina Štěrbová (1988)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

On topological algebra sheaves of a nuclear type

Anastasios Mallios (1970)

Studia Mathematica

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