Continuity of spectrum and spectral radius in algebras of operators
Continuity of spectrum and spectral radius in Banach algebras
This survey deals with necessary and/or sufficient conditions for continuity of the spectrum and spectral radius functions at a point of a Banach algebra.
Continuity of sublinear operators on F-spaces.
Continuity of superposition operators on and
Continuity of the Drazin inverse II
We study the continuity of the generalized Drazin inverse for elements of Banach algebras and bounded linear operators on Banach spaces. This work extends the results obtained by the second author on the conventional Drazin inverse.
Continuity of the fundamental operations on distributions having a specified wave front set (with a counterexample by Semyon Alesker)
The pull-back, push-forward and multiplication of smooth functions can be extended to distributions if their wave front sets satisfy some conditions. Thus, it is natural to investigate the topological properties of these operations between spaces of distributions having a wave front set included in a given closed cone Γ of the cotangent space. As discovered by S. Alesker, the pull-back is not continuous for the usual topology on , and the tensor product is not separately continuous. In this paper,...
Continuity of the identity embedding of Musielak-Orlicz sequence spaces
Continuity of the Radon Transform and its Inverse on Euclidean Space.
Continuity of the uniform rotundity modulus relative to linear subspaces
We prove the continuity of the rotundity modulus relative to linear subspaces of normed spaces. As a consequence we reduce the study of uniform rotundity relative to linear subspaces to the study of the same property relative to closed linear subspaces of Banach spaces.
Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems
Continuity properties of projection operators.
Continuity properties up to a countable partition.
Approximation and rigidity properties in renorming constructions are characterized with some classes of simple maps. Those maps describe continuity properties up to a countable partition. The construction of such kind of maps can be done with ideas from the First Lebesgue Theorem. We present new results on the relationship between Kadec and locally uniformly rotund renormability as well as characterizations of the last one with the simple maps used here.
Continuity versus boundedness of the spectral factorization mapping
This paper characterizes the Banach algebras of continuous functions on which the spectral factorization mapping 𝔖 is continuous or bounded. It is shown that 𝔖 is continuous if and only if the Riesz projection is bounded on the algebra, and that 𝔖 is bounded only if the algebra is isomorphic to the algebra of continuous functions. Consequently, 𝔖 can never be both continuous and bounded, on any algebra under consideration.
Continuous and compact imbeddings of weighted Sobolev spaces. I
Continuous and compact imbeddings of weighted Sobolev spaces. III
Continuous and compact imbeddings of weighted Sobolev spaces. II
Continuous and generalized solutions of singular partial differential equations.
Continuous characters and joint topological spectrum
Continuous derivations of valued fields
Continuous extension of sequentially continuous linear functionals in inductive limits of normed spaces