EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 41 – 60 of 409

Algebras whose groups of units are Lie groups

Helge Glöckner (2002)

Studia Mathematica

Let A be a locally convex, unital topological algebra whose group of units $A^{\times}$ is open and such that inversion $ι : A^{\times} \to A^{\times}$ is continuous. Then inversion is analytic, and thus $A^{\times}$ is an analytic Lie group. We show that if A is sequentially complete (or, more generally, Mackey complete), then $A^{\times}$ has a locally diffeomorphic exponential function and multiplication is given locally by the Baker-Campbell-Hausdorff series. In contrast, for suitable non-Mackey complete A, the unit group $A^{\times}$ is an analytic Lie group without...

Algebres à bases bornées.

M. Akkar, L. Oubbi, M. Oudadess (1987)

Collectanea Mathematica

Algebres A-convexes a poids.

L. Oubbi (1995)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Amenability for dual Banach algebras

V. Runde (2001)

Studia Mathematica

We define a Banach algebra 𝔄 to be dual if 𝔄 = (𝔄⁎)* for a closed submodule 𝔄⁎ of 𝔄*. The class of dual Banach algebras includes all W*-algebras, but also all algebras M(G) for locally compact groups G, all algebras ℒ(E) for reflexive Banach spaces E, as well as all biduals of Arens regular Banach algebras. The general impression is that amenable, dual Banach algebras are rather the exception than the rule. We confirm this impression. We first show that under certain conditions an amenable...

Amenability properties of Fourier algebras and Fourier-Stieltjes algebras: a survey

Nico Spronk (2010)

Banach Center Publications

Let G be a locally compact group, and let A(G) and B(G) denote its Fourier and Fourier-Stieltjes algebras. These algebras are dual objects of the group and measure algebras, $L^{- 1} (G)$ and M(G), in a sense which generalizes the Pontryagin duality theorem on abelian groups. We wish to consider the amenability properties of A(G) and B(G) and compare them to such properties for $L^{- 1} (G)$ and M(G). For us, “amenability properties” refers to amenability, weak amenability, and biflatness, as well as some properties which...

An approach to joint spectra

Angel Martínez Meléndez, Antoni Wawrzyńczyk (1999)

Annales Polonici Mathematici

For a given unital Banach algebra A we describe joint spectra which satisfy the one-way spectral mapping property. Each spectrum of this class is uniquely determined by a family of linear subspaces of A called spectral subspaces. We introduce a topology in the space of all spectral subspaces of A and utilize it to the study of the properties of the spectra.

An embedding theorem for commutative $B_{0}$ -algebras

P. Dixon (1972)

Studia Mathematica

An example of a Fréchet algebra which is a principal ideal domain

Graciela Carboni, Angel Larotonda (2000)

Studia Mathematica

We construct an example of a Fréchet m-convex algebra which is a principal ideal domain, and has the unit disk as the maximal ideal space.

An example of a nonseparable Banach algebra without nonseparable commutative subalgebras

Bohdan Aniszczyk, Ryszard Frankiewicz, Czesław Ryll-Nardzewski (1989)

Studia Mathematica

An example of a non-topologizable algebra

R. Frankiewicz, G. Plebanek (1995)

Studia Mathematica

We present an example of an algebra that is generated by $ω_{1}$ elements, and cannot be made a topological algebra. This answers a problem posed by W. Żelazko.

An m-convex B₀-algebra with all left but not all right ideals closed

W. Żelazko (2006)

Colloquium Mathematicae

We construct an example as announced in the title. We also indicate all right, left and two-sided ideals in this example.

Analysis on a class of Banach algebras with applications to harmonic analysis on locally compact groups and semigroups

Anthony To-Ming Lau (1983)

Fundamenta Mathematicae

Analytic semigroups in Banach algebras and a theorem of Hille

Tadeusz Pytlik (1987)

Colloquium Mathematicae

Analyticity of the Spectral Multi-Function in Topological Algebras

Enrico Casadio Tarabusi (1985)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Se $f:\Omega\rightarrow\mathcal{U}$ è un'applicazione olomorfa di un domìnio di $\mathbb{C}$ in un'algebra topologica che gode di certe proprietà, si dimostra che la multifunzione «spettro» $\sigma\circ f:\Omega\rightarrow 2^{C}$ è analitica secondo Oka.

Annihilator topological algebras.

Haralampidou, Marina (1994)

Portugaliae Mathematica

Antisymmetry and analytic structure in the spectrum of a uniform Frechet algebra.

Helmut Goldmann (1987)

Manuscripta mathematica

Applications of the scarcity theorem in ordered Banach algebras

Sonja Mouton (2014)

Studia Mathematica

We apply Aupetit's scarcity theorem to obtain stronger versions of many spectral-theoretical results in ordered Banach algebras in which the algebra cone has generating properties.

Approximate biflatness and Johnson pseudo-contractibility of some Banach algebras

Amir Sahami, Mohammad R. Omidi, Eghbal Ghaderi, Hamzeh Zangeneh (2020)

Commentationes Mathematicae Universitatis Carolinae

We study the structure of Lipschitz algebras under the notions of approximate biflatness and Johnson pseudo-contractibility. We show that for a compact metric space $X$ , the Lipschitz algebras ${Lip}_{α} (X)$ and ${lip}_{α} (X)$ are approximately biflat if and only if $X$ is finite, provided that $0 < α < 1$ . We give a necessary and sufficient condition that a vector-valued Lipschitz algebras is Johnson pseudo-contractible. We also show that some triangular Banach algebras are not approximately biflat.

Approximate point joint spectra and multiplicative functionals

Andrzej Sołtysiak (1987)

Studia Mathematica

Arens regularity and local reflexivity principle for Banach algebras.

B. Iochum, G. Loupias (1989)

Mathematische Annalen

Currently displaying 41 – 60 of 409

Previous Page 3 Next