Infinitely generated maximal ideals in uniform algebras and generalized-analytic sets
Integrals and Banach spaces for finite order distributions
Let denote the real-valued functions continuous on the extended real line and vanishing at . Let denote the functions that are left continuous, have a right limit at each point and vanish at . Define to be the space of tempered distributions that are the th distributional derivative of a unique function in . Similarly with from . A type of integral is defined on distributions in and . The multipliers are iterated integrals of functions of bounded variation. For each , the spaces...
Interpolating sequences and invariant subspaces of given index in the Bergman spaces.
Interpolation between and
Interpolation between Hardy spaces on the bidisc
Interpolation between Hp spaces and non-commutative generalizations (II).
We continue an investigation started in a preceding paper. We discuss tha classical result of Carleson connecting Carleson measures with the ∂-equation in a slightly more abstract framework than usual. We also consider a more recent result of Peter Jones which shows the existence of a solution for the ∂-equation, which satisfies simultaneously a good L∞ estimate and a good L1 estimate. This appears as a special case of our main result which can be stated as follows:Let (Ω, A, μ) be any measure space....
Interpolation de fonctions analytiques bornées
Interpolation linéaire et équations fonctionnelles
Intertwining operators
Intervention de la bornologie dans la convexité holomorphe
Invariance properties of homomorphisms on algebras of holomorphic functions with the Hadamard product
Let be the set of all holomorphic functions on the domain Two domains and are called Hadamard-isomorphic if and are isomorphic algebras with respect to the Hadamard product. Our main result states that two admissible domains are Hadamard-isomorphic if and only if they are equal.
Invariant means on a class of von Neumann algebras related to ultraspherical hypergroups
Let K be an ultraspherical hypergroup associated to a locally compact group G and a spherical projector π and let VN(K) denote the dual of the Fourier algebra A(K) corresponding to K. In this note, invariant means on VN(K) are defined and studied. We show that the set of invariant means on VN(K) is nonempty. Also, we prove that, if H is an open subhypergroup of K, then the number of invariant means on VN(H) is equal to the number of invariant means on VN(K). We also show that a unique topological...
Invariant subspaces of L... and H... .
Invariant subspaces of the Dirichlet shift.
Invariant subspaces on open Riemann surfaces
Let be a hyperbolic Riemann surface, a harmonic measure supported on the Martin boundary of , and the subalgebra of consisting of the boundary values of bounded analytic functions on . This paper gives a complete classification of the closed -submodules of , (weakly closed, if , when is regular and admits a sufficiently large family of bounded multiplicative analytic functions satisfying an approximation condition. It also gives, as a corollary, a corresponding result for the Hardy...
Invariant subspaces on open Riemann surfaces. II
We considerably improve our earlier results [Ann. Inst. Fourier, 24-4 (1974] concerning Cauchy-Read’s theorems, convergence of Green lines, and the structure of invariant subspaces for a class of hyperbolic Riemann surfaces.
Inverse elements in extensions of Banach algebras
Inversion von Fredholmfunktionen bei stetiger und holomorpher Abhängigkeit von Parametern.
Invertible elements in a convolution algebra of holomorphic functions.
Isometries and the Complex State Spaces of Uniform Algebras.