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 integrated semigroups.
Spectral mapping theorem for the local spectrum
Spectral mapping theorems and stability theory in linear dynamical systems.
Spectral mapping theorems for exponentially bounded C-semigroups in Banach spaces.
Spectral measures and automatic continuity.
Spectral Pairs in Cartesian Coordinates.
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 a type of integro-differential stiff problems
Spectral properties of cosine operator functions.
Spectral properties of doubly commuting hyponormal operators
Spectral properties of general self-adjoint, even order differential operators
Spectral properties of G-symbolic Morse shifts