Choquet theory in metric spaces.
Choquetova teorie a Dirichletova úloha
Choquetsimplexe und nukleare Räume.
Ciesielski and Franklin systems
A short survey of results on classical Franklin system, Ciesielski systems and general Franklin systems is given. The principal role of the investigations of Z. Ciesielski in the development of these three topics is presented. Recent results on general Franklin systems are discussed in more detail. Some open problems are posed.
Circumcenters in real normed spaces
The study of circumcenters in different types of triangles in real normed spaces gives new characterizations of inner product spaces.
C(K) norming subsets of C[0,1]
C(K) spaces which cannot be uniformly embedded into c₀(Γ)
We give two examples of scattered compact spaces K such that C(K) is not uniformly homeomorphic to any subset of c₀(Γ) for any set Γ. The first one is [0,ω₁] and hence it has the smallest possible cardinality, the other one has the smallest possible height ω₀ + 1.
Clarkson type inequalities and their relations to the concepts of type and cotype.
We prove some multi-dimensional Clarkson type inequalities for Banach spaces. The exact relations between such inequalities and the concepts of type and cotype are shown, which gives a conclusion in an extended setting to M. Milman's observation on Clarkson's inequalities and type. A similar investigation conceming the close connection between random Clarkson inequality and the corresponding concepts of type and cotype is also included. The obtained results complement, unify and generalize several...
Clarkson--McCarthy interpolated inequalities in Finsler norms.
Classes de Schatten d'opérateurs pseudo-différentiels
Classes d'interpolation associées à un opérateur maximal monotone
Classes d'opérateurs à puissances nucléaires
Classes du type Sobolev
Classes de protenseurs distributions contravariants
Classes of barrelled spaces related with the closed graph theorem
Classes of nonseparable Banach spaces with no universal element
Classical boundary value problems for integrable temperatures in a domain
Abstract. We study a Neumann problem for the heat equation in a cylindrical domain with -base and data in , a subspace of 1. We derive our results, considering the action of an adjoint operator on , a predual of , and using known properties of this last space.
Classical conormal, semilinear waves
Classical particle limit of non-relativistic quantum mechanics
Classical PLS-spaces: spaces of distributions, real analytic functions and their relatives
This paper is an extended version of an invited talk presented during the Orlicz Centenary Conference (Poznań, 2003). It contains a brief survey of applications to classical problems of analysis of the theory of the so-called PLS-spaces (in particular, spaces of distributions and real analytic functions). Sequential representations of the spaces and the theory of the functor Proj¹ are applied to questions like solvability of linear partial differential equations, existence of a solution depending...