On the right inverse operators which are defined by Eidelheit sequences.
On the spectra of holomorphic function algebras
On the spectrum of a one-parameter strongly continous representation.
On the spectrum of A(Ω) and
We study some properties of the maximal ideal space of the bounded holomorphic functions in several variables. Two examples of bounded balanced domains are introduced, both having non-trivial maximal ideals.
On the unit-1-stable rank of rings of analytic functions.
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.
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 weakly compact operators from some uniform algebras
Operators on some function spaces
Optimal Quadrature of Hp Functions.
Outer and inner vanishing measures and division in H∞ + C.
Measures on the unit circle are well studied from the view of Fourier analysis. In this paper, we investigate measures from the view of Poisson integrals and of divisibility of singular inner functions in H∞ + C. Especially, we study singular measures which have outer and inner vanishing measures. It is given two decompositions of a singular positive measure. As applications, it is studied division theorems in H∞ + C.
Outers for noncommutative revisited
We continue our study of outer elements of the noncommutative spaces associated with Arveson’s subdiagonal algebras. We extend our generalized inner-outer factorization theorem, and our characterization of outer elements, to include the case of elements with zero determinant. In addition, we make several further contributions to the theory of outers. For example, we generalize the classical fact that outers in actually satisfy the stronger condition that there exist aₙ ∈ A with haₙ ∈ Ball(A)...
Pick interpolation for a uniform algebra
Podal subspaces on the unit polydisk
Beurling's classical theorem gives a complete characterization of all invariant subspaces in the Hardy space H²(D). To generalize the theorem to higher dimensions, one is naturally led to determining the structure of each unitary equivalence (resp. similarity) class. This, in turn, requires finding podal (resp. s-podal) points in unitary (resp. similarity) orbits. In this note, we find that H-outer (resp. G-outer) functions play an important role in finding podal (resp. s-podal) points. By the methods...
Point derivations and prime ideals in R(X)
Pointwise multiplication operators on weighted Banach spaces of analytic functions
For a wide class of weights we find the approximative point spectrum and the essential spectrum of the pointwise multiplication operator , , on the weighted Banach spaces of analytic functions on the disc with the sup-norm. Thus we characterize when is Fredholm or is an into isomorphism. We also study cyclic phenomena for the adjoint map .
Principalité des idéaux de type fini de
Projections on Hardy spaces in the Lie ball.
On the Lie ball w of Cn, n ≥ 3, we prove that for all p ∈ [1,∞), p ≠ 2, the Hardy space Hp(w) is an uncomplemented subspace of the Lebesgue space Lp(∂0w, dσ), where ∂0w denotes the Shilov boundary of w and dσ is a normalized invariant measure of ∂0w.
Projective Lie Algebra Bases of a Locally Compact Group and Uniform Differentiability.
Propriétés spectrales en analyse non archimédienne
Pseudo-uniform Convexity in Hardy Spaces over Riemann Surfaces.