Spectra and Numerical Ranges in Locally M-Convex Algebras
Spectral and boundedness radii in locally convex algebras.
Spectral and homological properties of Hilbert modules over the disc algebra
We study general Hilbert modules over the disc algebra and exhibit necessary spectral conditions for the vanishing of certain associated extension groups. In particular, this sheds some light on the problem of identifying the projective Hilbert modules. Part of our work also addresses the classical derivation problem.
Spectral characterization of two-sided ideals in Banach algebras
Spectral characterization of two-sided ideals in Banach algebras
Spectral characterizations of central elements in Banach algebras
Let A be a complex unital Banach algebra. We characterize elements belonging to Γ(A), the set of elements central modulo the radical. Our result extends and unifies several known characterizations of elements in Γ(A).
Spectral Decompositions and Decomposable Multipliers.
Spectral mapping inclusions for the Phillips functional calculus in Banach spaces and algebras
We investigate the weak spectral mapping property (WSMP) , where A is the generator of a ₀-semigroup in a Banach space X, μ is a measure, and μ̂(A) is defined by the Phillips functional calculus. We consider the special case when X is a Banach algebra and the operators , t ≥ 0, are multipliers.
Spectral pictures of operators quasisimilar to the unilateral shift.
Spectral properties of quotients of Beurling-type submodules of the Hardy module over the unit ball
Let M be a Beurling-type submodule of , the Hardy space over the unit ball of , and let be the associated quotient module. We completely describe the spectrum and essential spectrum of N, and related index theory.
Spectral radius and seminorms in finite-dimensional algebras. II
Spectral radius characterization of commutativity in Banach algebras
Spectral sets
The paper studies spectral sets of elements of Banach algebras as the zeros of holomorphic functions and describes them in terms of existence of idempotents. A new decomposition theorem characterizing spectral sets is obtained for bounded linear operators.
Spectral study of holomorphic functions with bounded growth
This paper studies properties of a large class of algebras of holomorphic functions with bounded growth in several complex variables.The main result is useful in the applications. Using the symbolic calculus of L. Waelbroeck, it gives for instance a theorem of the “Nullstellensatz” type and approximation theorems.
Spectral theory for facially homogenous symmetric self-dual cones.
Spectral Theory of Generalized Endomorpisms I
Spectres d’algèbres de Banach -adiques
Spectrum of generators of a noncommutative Banach algebra
Spectrum preserving linear mappings in Banach algebras
Let A and B be two unitary Banach algebras. We study linear mappings from A into B which preserve the polynomially convex hull of the spectrum. In particular, we give conditions under which such surjective linear mappings are Jordan morphisms.
Splitting maps and norm bounds for the cyclic cohomology of biflat Banach algebras
We revisit the old result that biflat Banach algebras have the same cyclic cohomology as C, and obtain a quantitative variant (which is needed in separate, joint work of the author on the simplicial and cyclic cohomology of band semigroup algebras). Our approach does not rely on the Connes-Tsygan exact sequence, but is motivated strongly by its construction as found in [2] and [5].