Spectral isometries
In this survey, we summarise some of the recent progress on the structure of spectral isometries between C*-algebras.
Spectral localization, power boundedness and invariant subspaces under Ritt's type condition
For a bounded linear operator T in a Banach space the Ritt resolvent condition (|λ| > 1) can be extended (changing the constant C) to any sector |arg(λ - 1)| ≤ π - δ, . This implies the power boundedness of the operator T. A key result is that the spectrum σ(T) is contained in a special convex closed domain. A generalized Ritt condition leads to a similar localization result and then to a theorem on invariant subspaces.
Spectral mapping framework
In this paper we suggest a general framework of the spectral mapping theorem in terms of parametrized Banach space bicomplexes.
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 mapping theorem for fractional powers in locally convex spaces
Spectral mapping theorem for the local spectrum
Spectral mapping theorems and stability theory in linear dynamical systems.
Spectral perturbations in linear viscoelasticity of the Boltzmann type
Spectral pictures of operators quasisimilar to the unilateral shift.
Spectral projections, semigroups of operators, and the Laplace transform
Spectral Properties of a Linear Operator Connected with Solutions of Linear Differential Equations in Banach Spaces.
Spectral properties of doubly commuting hyponormal operators
Spectral properties of non-local uniformly-elliptic operators.
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 properties of Schrödinger operators and scattering theory
Spectral properties of the Klein–Gordon -wave equation with spectral parameter-dependent boundary condition.
Spectral properties of vaguely elliptic pseudo differential operators with momentum dependent long range potentials using time dependent scattering theory - II.
Spectral Radius and Spectrum of the Compression of a Slant Toeplitz Operator}
Spectral radius formula for commuting Hilbert space operators
A formula is given for the (joint) spectral radius of an n-tuple of mutually commuting Hilbert space operators analogous to that for one operator. This gives a positive answer to a conjecture raised by J. W. Bunce in [1].
Spectral radius inequalities for positive commutators
We establish several inequalities for the spectral radius of a positive commutator of positive operators in a Banach space ordered by a normal and generating cone. The main purpose of this paper is to show that in order to prove the quasi-nilpotency of the commutator we do not have to impose any compactness condition on the operators under consideration. In this way we give a partial answer to the open problem posed in the paper by J. Bračič, R. Drnovšek, Y. B. Farforovskaya, E. L. Rabkin, J. Zemánek...