✦ LIBER ✦

Polynomial Properties of Banach Spaces

✍ Scribed by Y.S. Choi; S.G. Kim

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 332 KB
Volume: 190
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1995.1071

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Extendible Polynomials on Banach Spaces

✍ Daniel Carando 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 114 KB

We are concerned with the following question: when can a polynomial P: Ž . E ª X E and X are Banach spaces be extended to a Banach space containing E? We prove that the polynomials that are extendible to any larger space are Ž X . precisely those which can be extended to C B , if X is complemented

Coherent sequences of polynomial ideals

Coherent sequences of polynomial ideals on Banach spaces

✍ Daniel Carando; Verónica Dimant; Santiago Muro 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 259 KB 👁 1 views

## Abstract This article deals with the relationship between an operator ideal and its natural polynomial extensions. We define the concept of coherent sequence of polynomial ideals and also the notion of compatibility between polynomial and operator ideals. We study the stability of these properti

Properties of Q-Reflexive Banach Spaces

✍ M. Venkova 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 106 KB

We investigate whether the Q-reflexive Banach spaces have the following properties: containment of l p , reflexivity, Dunford-Pettis property, etc.

Polynomials on Banach Spaces: Zeros and

Polynomials on Banach Spaces: Zeros and Maximal Points

✍ M. Lacruz; A.M. Tonge 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 129 KB

Multilinear Forms, Subsymmetric Polynomi

Multilinear Forms, Subsymmetric Polynomials, and Spreading Models on Banach Spaces

✍ Raquel Gonzalo 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 195 KB

Some applications of Ramsey theory to the study of multilinear forms and polynomials on Banach spaces are given, related to the existence of lower l -estiq mates of sequences. We give an explicit representation of subsymmetric polynomials in Banach spaces with subsymmetric basis. Finally we apply ou

Infinite dimensional Banach spaces of fu

Infinite dimensional Banach spaces of functions with nonlinear properties

✍ D. García; B. C. Grecu; M. Maestre; J. B. Seoane-Sepülveda 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 151 KB

The aim of this paper is to show that there exist infinite dimensional Banach spaces of functions that, except for 0, satisfy properties that apparently should be destroyed by the linear combination of two of them. Three of these spaces are: a Banach space of differentiable functions on R n failing