On Integral Representation and the Choquet Boundary for Convolution Algebras of Measures.
Gunter Ritter, Susanna Papadopoulou (1982)
Monatshefte für Mathematik
Joaquim Bruna (1981)
Studia Mathematica
Mihai Putinar (1995)
Studia Mathematica
One computes the joint and essential joint spectra of a pair of multiplication operators with bounded analytic functions on the Hardy spaces of the unit ball in .
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.
Eric Amar (2008)
Studia Mathematica
Let A be a uniform algebra on X and σ a probability measure on X. We define the Hardy spaces and the interpolating sequences S in the p-spectrum of σ. We prove, under some structural hypotheses on A and σ, that if S is a “dual bounded” Carleson sequence, then S is -interpolating with a linear extension operator for s < p, provided that either p = ∞ or p ≤ 2. In the case of the unit ball of ℂⁿ we find, for instance, that if S is dual bounded in then S is -interpolating with a linear...
R. Leśniewicz (1973)
Studia Mathematica
R. Leśniewicz (1973)
Studia Mathematica
R. Leśniewicz (1973)
Studia Mathematica
John Daly (1971)
Studia Mathematica
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.
M. A. Selby (1974)
Colloquium Mathematicae
W. Żelazko (1976)
Studia Mathematica
Marek Balcerzak, Aleksander Maliszewski (2011)
Colloquium Mathematicae
We introduce and examine the notion of dense weak openness. In particular we show that multiplication in C(X) is densely weakly open whenever X is an interval in ℝ.
Mikhail Katz (1991)
Fundamenta Mathematicae
W. Żelazko (1983)
Studia Mathematica
W. Żelazko (1983)
Studia Mathematica
W. Żelazko (1971)
Studia Mathematica
P. Wojtaszczyk (1979)
Studia Mathematica
Charles J.K. Batty (1976)
Mathematische Zeitschrift