A note on quasi-monotone operators.
A note on Riesz elements in -algebras.
A note on semicharacters
A note on singular and degenerate abstract equations
Si considera l’equazione astratta , dove
A note on singular points of convex functions in Banach spaces
A note on solutions of semilinear equations at resonance in a cone
A connection between the Landesman-Lazer condition and the solvability of the equation Lx = N(x) in a cone with a noninvertible linear operator L is studied. The result is based on the abstract framework from [5], applied to the existence of periodic solutions of ordinary differential equations, and compared with theorems by Santanilla (see [7]).
A note on some fixed point results.
A note on “Some results on multi-valued weakly Jungck mappings in b-metric space”
The proofs of Theorems 2.1, 2.2 and 2.3 from [Olatinwo M.O., Some results on multi-valued weakly jungck mappings in b-metric space, Cent. Eur. J. Math., 2008, 6(4), 610–621] base on faulty evaluations. We give here correct but weaker versions of these theorems.
A note on spectra of weighted composition operators on weighted Banach spaces of holomorphic functions.
A Note On Spectral And Prespectral Operators.
A note on stability for linear partial differential equations
A note on stability properties of integrated semigroups
A note on strictly cyclic shifts on .
A note on strong convergence of a modified Halpern's iteration for nonexpansive mappings.
A note on strong resonance problems for -Laplacian.
A note on subnormal operators
A note on Tauberian operators.
A note on the -Browder’s and -Weyl’s theorems
Let be a Banach space operator. In this paper we characterize -Browder’s theorem for by the localized single valued extension property. Also, we characterize -Weyl’s theorem under the condition where is the set of all eigenvalues of which are isolated in the approximate point spectrum and is the set of all left poles of Some applications are also given.
A note on the abstract Cauchy problem.
A Note on the Alexander Theorem on the Complex Plane
We investigate the Banach manifold consisting of complex functions on the unit disc having boundary values in a given one-dimensional submanifold of the plane. We show that ∂/∂λ̅ restricted to that submanifold is a Fredholm mapping. Moreover, for any such function we obtain a relation between its homotopy class and the Fredholm index.