Proper uniform algebras are flat
In this brief note, we see that if is a proper uniform algebra on a compact Hausdorff space , then is flat.
Properties of derivations on some convolution algebras
For all convolution algebras L 1[0, 1); L loc1 and A(ω) = ∩n L 1(ωn), the derivations are of the form D μ f = Xf * μ for suitable measures μ, where (Xf)(t) = tf(t). We describe the (weakly) compact as well as the (weakly) Montel derivations on these algebras in terms of properties of the measure μ. Moreover, for all these algebras we show that the extension of D μ to a natural dual space is weak-star continuous.
Properties of function algebras in terms of their orthogonal measures
In the present note, we characterize the pervasive, analytic, integrity domain and the antisymmetric function algebras respectively, defined on a compact Hausdorff space , in terms of their orthogonal measures on .
Propriétés spectrales en analyse non archimédienne
Pseudo-Banach algebras
Pseudo-uniform Convexity in Hardy Spaces over Riemann Surfaces.
Pseudo-Uniform Convexity of the Hardy Class H on Riemann Surfaces.
Pure quasi-states and extremal quasi-measures.
Quadrature Formulae for Hp Functions.
Quasi-Banach algebras, ideals, and holomorphic functional calculus
Quasicompact endomorphisms of commutative semiprime Banach algebras
This paper is a continuation of our study of compact, power compact, Riesz, and quasicompact endomorphisms of commutative Banach algebras. Previously it has been shown that if B is a unital commutative semisimple Banach algebra with connected character space, and T is a unital endomorphism of B, then T is quasicompact if and only if the operators Tⁿ converge in operator norm to a rank-one unital endomorphism of B. In this note the discussion is extended in two ways: we discuss endomorphisms of commutative...
Quasi-invariant subspaces generated by polynomials with nonzero leading terms
We introduce a partial order relation in the Fock space. Applying it we show that for the quasi-invariant subspace [p] generated by a polynomial p with nonzero leading term, a quasi-invariant subspace M is similar to [p] if and only if there exists a polynomial q with the same leading term as p such that M = [q].
Quelques questions ouvertes en analyse ultramétrique
Quelques résultats de division dans
Raising bounded groups and splitting of radical extensions of commutative Banach algebras
Let A be a commutative unital Banach algebra and let A/ℛ be the quotient algebra of A modulo its radical ℛ. This paper is concerned with raising bounded groups in A/ℛ to bounded groups in the algebra A. The results will be applied to the problem of splitting radical extensions of certain Banach algebras.
Rational Approximation and Weak Analyticity. II.
Rational modules and higher order Cauchy transforms.
Real Banach Algebras. II.
Real linear isometries between function algebras. II
We describe the general form of isometries between uniformly closed function algebras on locally compact Hausdorff spaces in a continuation of the study by Miura. We can actually obtain the form on the Shilov boundary, rather than just on the Choquet boundary. We also give an example showing that the form cannot be extended to the whole maximal ideal space.
Real-linear isometries between certain subspaces of continuous functions
In this paper we first consider a real-linear isometry T from a certain subspace A of C(X) (endowed with supremum norm) into C(Y) where X and Y are compact Hausdorff spaces and give a result concerning the description of T whenever A is a uniform algebra on X. The result is improved for the case where T(A) is, in addition, a complex subspace of C(Y). We also give a similar description for the case where A is a function space on X and the range of T is a real subspace of C(Y) satisfying a ceratin...