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Tensor products of multilinear operators

โœ Scribed by Basil C Krikeles

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
570 KB
Volume
116
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES

Complemented Subspaces of Spaces of Mult
Complemented Subspaces of Spaces of Multilinear Forms and Tensor Products
โœ Fรฉlix Cabello Sรกnchez ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 84 KB

Among other things, we show that L is isomorphic to a complemented q subspace of the space of multilinear forms on L = ะธะธะธ = L , where q G 1 is given by 1rp q ะธะธะธ q1rp q 1rq s 1. The proof strongly depends on the L -1 n ฯฑ module structure of the spaces L .

Universality and chaos for tensor produc
Universality and chaos for tensor products of operators
โœ Fรฉlix Martฤฑฬnez-Gimรฉnez; Alfredo Peris ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 229 KB

We give sufficient conditions for the universality of tensor products fT n f # #R n : nANg of sequences of operators defined on Freยดchet spaces. In particular we study when the tensor product T f # #R of two operators is chaotic in the sense of Devaney. Applications are given for natural operators o