Continuity of multilinear operators in weighted Herz spaces with extreme exponents.
Continuity of Nemyckij's operator in Hölder spaces
Continuity of operators on Saks spaces
Continuity of Pseudo-differential Operators on Bessel And Besov Spaces
We study the continuity of pseudo-differential operators on Bessel potential spaces Hs|p (Rn ), and on the corresponding Besov spaces B^(s,q)p (R ^n). The modulus of continuity ω we use is assumed to satisfy j≥0, ∑ [ω(2−j )Ω(2j )]2 < ∞ where Ω is a suitable positive function.
Continuity of spectrum and spectral radius in algebras of operators
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 spectrum of norm-normal matrices
Continuity of the superposition of set-valued functions.
Continuity properties of best analytic approximation.
Continuity properties of nonlinear mappings
Continuity properties of projection operators.
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.
Continuity versus nonexistence for a class of linear stochastic Cauchy problems driven by a Brownian motion
Let denote the generator of the rotation group in the space , where denotes the unit circle. We show that the stochastic Cauchy problem where is a standard Brownian motion and is fixed, has a weak solution if and only if the stochastic convolution process has a continuous modification, and that in this situation the weak solution has a continuous modification. In combination with a recent result of Brzeźniak, Peszat and Zabczyk it follows that (1) fails to have a weak solution for all...
Continuous and compact imbeddings of weighted Sobolev spaces. I
Continuous and generalized solutions of singular partial differential equations.
Continuous Branches of Positive Solutions for a Class of Nonlinear Second-Order Differential Equations.
Continuous data dependence for an abstract Volterra integro-differential equation in Hilbert space with applications to viscoelasticity
Continuous dependence of solutions for ill-posed evolution problems.