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Displaying 1621 – 1640 of 1952

On the uniqueness of uniform norms and C*-norms

P. A. Dabhi, H. V. Dedania (2009)

Studia Mathematica

We prove that a semisimple, commutative Banach algebra has either exactly one uniform norm or infinitely many uniform norms; this answers a question asked by S. J. Bhatt and H. V. Dedania [Studia Math. 160 (2004)]. A similar result is proved for C*-norms on *-semisimple, commutative Banach *-algebras. These properties are preserved if the identity is adjoined. We also show that a commutative Beurling *-algebra L¹(G,ω) has exactly one uniform norm if and only if it has exactly one C*-norm; this is...

On the unit-1-stable rank of rings of analytic functions.

Joan Josep Carmona, Julià Cufí, Pere Menal (1992)

Publicacions Matemàtiques

In this paper we prove a general result for the ring H(U) of the analytic functions on an open set U in the complex plane which implies that H(U) has not unit-1-stable rank and that has some other interesting consequences. We prove also that in H(U) there are no totally reducible elements different from the zero function.

On the unit-1-stable rank of rings of analytic functions.

María Jesús Carro, Joan Cerdà (1992)

Publicacions Matemàtiques

We identify the intermediate space of a complex interpolation family -in the sense of Coifman, Cwikel, Rochberg, Sagher and Weiss- of Lp spaces with change of measure, for the complex interpolation method associated to any analytic functional.

On the universal $C^{*}$ -algebra generated by a partial isometry.

Kandelaki, T. (1998)

Georgian Mathematical Journal

On the upper envelopes of a family of $n$ -disjoint operators.

Radnaev, V.A. (2001)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

On the use of modular groups in quantum field theory

H. J. Borchers (1995)

Annales de l'I.H.P. Physique théorique

On the validity of Friedrichs' inequalities.

Pekka Neittaanmäki, Michal Krízek (1984)

Mathematica Scandinavica

On the value of a distribution at a point

Peetre, Jaak (1968)

Portugaliae mathematica

On the Value of a Distribution at a Point.

Marion D. Cohen (1971)

Mathematische Zeitschrift

On the vanishing of cohomology groups with values in a product sheaf.

Hans-Joachim Petzsche (1983)

Journal für die reine und angewandte Mathematik

On the Variational Characterization of Bivariate Interpolation Methods.

Franz-Jürgen Delvos, H.-W. Kösters (1975)

Mathematische Zeitschrift

On the Vitali covering properties of a differentiation basis

Antonio Cordoba (1976)

Studia Mathematica

On the volume method in the study of Auerbach bases of finite-dimensional normed spaces

Anatolij Plichko (1996)

Colloquium Mathematicae

In this note we show that if the ratio of the minimal volume V of n-dimensional parallelepipeds containing the unit ball of an n-dimensional real normed space X to the maximal volume v of n-dimensional crosspolytopes inscribed in this ball is equal to n!, then the relation of orthogonality in X is symmetric. Hence we deduce the following properties: (i) if V/v=n! and if n>2, then X is an inner product space; (ii) in every finite-dimensional normed space there exist at least two different Auerbach...

On the volume of unit balls in Banach spaces

Carsten Schütt (1982)

Compositio Mathematica

On the weak amenability of ℬ(X)

A. Blanco (2010)

Studia Mathematica

We investigate the weak amenability of the Banach algebra ℬ(X) of all bounded linear operators on a Banach space X. Sufficient conditions are given for weak amenability of this and other Banach operator algebras with bounded one-sided approximate identities.

On the weak $L^{1}$ space and singular measures

Robert Kaufman (1982)

Annales de l'institut Fourier

We study the class of singular measures whose Fourier partial sums converge to 0 in the metric of the weak $L^{1}$ space; symmetric sets of constant ratio occur in an unexpected way.

On the weak star uniformly rotund points of Orlicz spaces.

Ting Fu Wang, Quan Di Wang (1993)

Collectanea Mathematica

We obtain the necessary and sufficient condition of weak star uniformly rotund point in Orlicz spaces.

Currently displaying 1621 – 1640 of 1952

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Displaying 1621 – 1640 of 1952

On the uniqueness of uniform norms and C*-norms

On the unit-1-stable rank of rings of analytic functions.

On the unit-1-stable rank of rings of analytic functions.

On the universal $C^{*}$ -algebra generated by a partial isometry.

On the upper envelopes of a family of $n$ -disjoint operators.

On the use of modular groups in quantum field theory

On the validity of Friedrichs' inequalities.

On the value of a distribution at a point

On the Value of a Distribution at a Point.

On the vanishing of cohomology groups with values in a product sheaf.

On the Variational Characterization of Bivariate Interpolation Methods.

On the Vitali covering properties of a differentiation basis

On the volume method in the study of Auerbach bases of finite-dimensional normed spaces

On the volume of unit balls in Banach spaces

On the weak amenability of ℬ(X)

On the weak $L^{1}$ space and singular measures

On the weak star uniformly rotund points of Orlicz spaces.

On the weak uniform rotundity of Banach spaces.

On the weak-basis theorem

On the Wiener-Eberlein theorem

Currently displaying 1621 – 1640 of 1952