A characterization for the spectral capacity of a finite system of operators
A characterization of spectral operators of finite type
A characterization of the generators of analytic -semigroups in the class of scalar type spectral operators.
A Commutativity Theorem for Hermitian Operators.
A Criterion for an Operator with Real Spectrum to Be of Scalar-type.
A Note On Spectral And Prespectral Operators.
A note on the spectral operators of scalar type and semigroups of bounded linear operators.
A spectrality condition for infinitesimal generators of cosine operator functions
A survey of the spectral and differential geometric aspects of the generalized de Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems. I.
A survey of the spectral and differential geometric aspects of the generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems. II.
Algebraic spectral subspaces
Algebraic spectral subspaces and automatic continuity
Almost everywhere convergence of generalized ergodic transforms for invertible power-bounded operators in
We show that some results of Gaposhkin about a.e. convergence of series associated to a unitary operator U acting on L²(X,Σ,μ) (μ is a σ-finite measure) may be extended to the case where U is an invertible power-bounded operator acting on , p > 1. The proofs make use of the spectral integration initiated by Berkson-Gillespie and, more specifically, of recent results of the author.
An -functional calculus for power-bounded operators on certain UMD spaces
For 1 ≤ q < ∞, let denote the Banach algebra consisting of the bounded complex-valued functions on the unit circle having uniformly bounded q-variation on the dyadic arcs. We describe a broad class ℐ of UMD spaces such that whenever X ∈ ℐ, the sequence space ℓ²(ℤ,X) admits the classes as Fourier multipliers, for an appropriate range of values of q > 1 (the range of q depending on X). This multiplier result expands the vector-valued Marcinkiewicz Multiplier Theorem in the direction q >...
Antiprojectors with applications in the spectral theory
Asymptotic intertwining and spectral inclusions on Banach spaces
Automatic extensions of functional calculi
Given a Banach algebra ℱ of complex-valued functions and a closed, linear (possibly unbounded) densely defined operator A, on a Banach space, with an ℱ functional calculus we present two ways of extending this functional calculus to a much larger class of functions with little or no growth conditions. We apply this to spectral operators of scalar type, generators of bounded strongly continuous groups and operators whose resolvent set contains a half-line. For f in this larger class, one construction...