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On certain Banach spaces in connection with interpolation theory

✍ Scribed by Francisco Pérez Acosta

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
469 KB
Volume
83
Category
Article
ISSN
0377-0427

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✦ Synopsis

By using a norm generated by the error series of a sequence of interpolation polynomials, we obtain in this paper ~ertain Banach spaces. A relation between these spaces and the space (Co, S) with norm generated by the error series of the best polynomial approximations (minimax series) is established.

Finally, certain inequalities for the minimax series of a product are obtained which permit us to define a product over the space (C0,S). With such a product (Co,S) is a Banach Algebra.

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✍ Fernando Cobos; Jaak Peetre; Lars Erik Persson 📂 Article 📅 1998 🏛 Elsevier Science 🌐 French ⚖ 885 KB

We describe a new approach to interpolate by the complex method quasi-Banach couples formed by real-intermediate spaces. End-point cases are also considered, and applications are given to fun,:tion spaces and to operator spaces. 0 Elsevier, Paris.