Some Banach spaces on which all biholomorphic automorphisms are linear

C0-semigroups of linear operators on some ultrametric Banach spaces

C0-semigroups of linear operators play a crucial role in the solvability of evolution equations in the classical context. This paper is concerned with a brief conceptualization of C0-semigroups on (ultrametric) free Banach spaces E. In contrast with the classical setting, the parameter of a given C0-semigroup belongs to a clopen ball Ωr of the ground field K. As an illustration, we will discuss...

Local Automorphisms of Operator Algebras on Banach Spaces

In this paper we extend a result of Šemrl stating that every 2-local automorphism of the full operator algebra on a separable infinite dimensional Hilbert space is an automorphism. In fact, besides separable Hilbert spaces, we obtain the same conclusion for the much larger class of Banach spaces with Schauder bases. The proof rests on an analogous statement concerning the 2-local automorphisms ...

On Some 2-banach Spaces 1

The main aim of this article is to introduce some difference sequence spaces with elements in a finite dimensional 2-normed space and extend the notion of 2-norm and derived norm to thus constructed spaces. We investigate the spaces under the action of different difference operators and show that these spaces become 2-Banach spaces when the base space is a 2-Banach space. We also prove that con...

Linear Functionals on Certain Banach Spaces

Cotype of Some Banach Spaces

Type and cotype are computed for Banach spaces generated by some positive sublinear operators and Banach function spaces. Applications of the results yield that under certain assumptions Clarkson’s inequalities hold in these spaces.