Norm of symmetric product compared with norm of tensor product
- 1 January 1974
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 2 (2) , 115-121
- https://doi.org/10.1080/03081087408817047
Abstract
Suppose each of mm,n and k is a positive integerA is a (real-valued) symmetric n-linear function on Em and B is a symmetric k-linear function on Em . An inner product norm on the vector space of all (n+k)-linear functions on Em is defined. The tensor and symmetric products of A and B are denoted, respectively, by A⊗B and AċB.lt is shown that and that this result is best possible.Keywords
This publication has 3 references indexed in Scilit:
- Tensor products and successive approximations for partial differential equationsIsrael Journal of Mathematics, 1968
- Some inequalities for combinatorial matrix functionsJournal of Combinatorial Theory, 1967
- Multilinear AlgebraPublished by Springer Nature ,1967