A characterization of -algebras.
A characterization of in terms of atoms
A class of weighted composition operators on
A comparison between the closed modular ideals in l...(w) and L...(w).
A constructive proof of the Beurling-Rudin theorem
A constructive proof of the Beurling-Rudin theorem on the characterization of the closed ideals in the disk algebra A(𝔻) is given.
A counterexample in harmonic analysis
A direct sum representation
A local algebra structure for of the polydisc
A microlocal F. and M. Riesz theorem with applications.
Consider, by way of example, the following F. and M. Riesz theorem for Rn: Let μ be a finite measure on Rn whose Fourier transform μ* is supported in a closed convex cone which is proper, that is, which contains no entire line. Then μ is absolutely continuous (cf. Stein and Weiss [SW]). Here, as in the sequel, absolutely continuous means with respect to Lebesque measure. In this theorem one can replace the condition on the support of μ* by a similar condition on the wave front set WF(μ) of μ, while...
A model for some analytic Toeplitz operators
We present a change of variable method and use it to prove the equivalence to bundle shifts for certain analytic Toeplitz operators on the Banach spaces . In Section 2 we see this approach applied in the analysis of essential spectra. Some partial results were obtained in [9] in the Hilbert space case.
A multilinear interpolation theorem
A natural localization of Hardy spaces in several complex variables
Let H²(bΩ) be the Hardy space of a bounded weakly pseudoconvex domain in . The natural resolution of this space, provided by the tangential Cauchy-Riemann complex, is used to show that H²(bΩ) has the important localization property known as Bishop’s property (β). The paper is accompanied by some applications, previously known only for Bergman spaces.
A new class of composition operators.
A note on derivations of algebras of analytic functions.
A Note on Extreme and Exposed Points in Cn(I).
A note on minimal envelopes of Douglas algebras, minimal support sets, and restricted Douglas algebras.
A note on pervasive function algebras
A note on spaces of type
We show that a theorem of Rudin, concerning the sum of closed subspaces in a Banach space, has a converse. By means of an example we show that the result is in the nature of best possible.
A note on the joint spectrum in commutative Banach algebras
A note on Toeplitz operators on Bergman spaces