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Power-bounded elements and radical Banach algebras

Graham Allan (1997)

Banach Center Publications

Firstly, we give extensions of results of Gelfand, Esterle and Katznelson--Tzafriri on power-bounded operators. Secondly, some results and questions relating to power-bounded elements in the unitization of a commutative radical Banach algebra are discussed.

Practical Ulam-Hyers-Rassias stability for nonlinear equations

Jin Rong Wang, Michal Fečkan (2017)

Mathematica Bohemica

In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets. We derive some interesting sufficient conditions on practical Ulam-Hyers-Rassias stability from a nonlinear functional analysis point of view. Our method is based on solving nonlinear equations via homotopy method together with Bihari inequality result. Then we consider nonlinear equations...

Preduals of Sobolev-Campanato spaces

Konrad Gröger, Lutz Recke (2001)

Mathematica Bohemica

We present definitions of Banach spaces predual to Campanato spaces and Sobolev-Campanato spaces, respectively, and we announce some results on embeddings and isomorphisms between these spaces. Detailed proofs will appear in our paper in Math. Nachr.

Preduals of spaces of vector-valued holomorphic functions

Christopher Boyd (2003)

Czechoslovak Mathematical Journal

For U a balanced open subset of a Fréchet space E and F a dual-Banach space we introduce the topology τ γ on the space ( U , F ) of holomorphic functions from U into F . This topology allows us to construct a predual for ( ( U , F ) , τ δ ) which in turn allows us to investigate the topological structure of spaces of vector-valued holomorphic functions. In particular, we are able to give necessary and sufficient conditions for the equivalence and compatibility of various topologies on spaces of vector-valued holomorphic functions....

Preface

John, Oldřich, Kufner, Alois (1982)

Nonlinear Analysis, Function Spaces and Applications

Preface

(1999)

Nonlinear Analysis, Function Spaces and Applications

Preface

(1994)

Nonlinear Analysis, Function Spaces and Applications

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