On an abstract evolution equation with a spectral operator of scalar type.
On decomposably regular operators.
On estimates for spectral projections of perturbed selfadjoint operators.
On group decompositions of bounded cosine sequences
A two-sided sequence with values in a complex unital Banach algebra is a cosine sequence if it satisfies for any n,m ∈ ℤ with c₀ equal to the unity of the algebra. A cosine sequence is bounded if . A (bounded) group decomposition for a cosine sequence is a representation of c as for every n ∈ ℤ, where b is an invertible element of the algebra (satisfying , respectively). It is known that every bounded cosine sequence possesses a universally defined group decomposition, here referred...
On joint spectra of commuting families of operators
On M-hyponormal operators
On scalar type spectral operators, infinite differentiable and Gevrey ultradifferentiable -semigroups.
On the Carleman classes of vectors of a scalar type spectral operator.
On the characterization of scalar type spectral operators
The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.
On the shift operators.
On the weak decomposition property
We study a new class of bounded linear operators which strictly contains the class of bounded linear operators with the decomposition property (δ) or the weak spectral decomposition property (weak-SDP). We treat general local spectral properties for operators in this class and compare them with the case of operators with (δ).
On totally -paranormal operators
In this paper we study some properties of a totally -paranormal operator (defined below) on Hilbert space. In particular, we characterize a totally -paranormal operator. Also we show that Weyl’s theorem and the spectral mapping theorem hold for totally -paranormal operators through the local spectral theory. Finally, we show that every totally -paranormal operator satisfies an analogue of the single valued extension property for and some of totally -paranormal operators have scalar extensions....
On two questions of I. Colojoara and C. Foias.
Operators with Absolutely Bounded Matrices.
Operator-Valued Ultradistributions in the Spectral Theory.