We begin by giving, in Section 1, a number of conditions including compactness and weak sequential continuity, which are equivalent to the existence of monomial bases. We apply these equivalences and the Gon-zaloαJaramillo indexes to the problem of existence of monomial bases in spaces of multilinea
On norms in spaces of multilinear forms
β Scribed by D.K. Faddeev
- Publisher
- Elsevier Science
- Year
- 1972
- Weight
- 376 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0041-5553
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π SIMILAR VOLUMES
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
Among other things, we show that L is isomorphic to a complemented q subspace of the space of multilinear forms on L = ΠΈΠΈΠΈ = L , where q G 1 is given by 1rp q ΠΈΠΈΠΈ q1rp q 1rq s 1. The proof strongly depends on the L -1 n Ο± module structure of the spaces L .
In this paper, we introduce Pexiderized generalized Jensen and Pexiderized generalized quadratic operators on X Ξ» spaces and investigate their norms.