Projections on tensor product spaces-Reference-Cited by-同舟云学术

Projections on tensor product spaces

Published:1985 Issue:1 Volume:287 Page:161-165
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Halton E. J.,Light W. A.

Abstract

( S , Σ , μ ) , ( T , Θ , υ ) (S,\Sigma ,\mu ),(T,\Theta ,\upsilon ) are finite, nonatomic measure spaces. G G and H H are finite-dimensional subspaces of L 1 ( S ) {L_1}(S) and L 1 ( T ) {L_1}(T) respectively. Both G G and H H contain the constant functions. It is shown that the relative projection constant of L 1 ( S ) ⊗ H + G ⊗ L 1 ( T ) {L_1}(S) \otimes H + G \otimes {L_1}(T) in L 1 ( S × T ) {L_1}(S \times T) is at least 3 3 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1985-287-01/S0002-9947-1985-0766211-7/S0002-9947-1985-0766211-7.pdf

Reference6 articles.

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3. Minimal projections in bivariate function spaces;Halton, E. J.;J. Approx. Theory,1985

4. \bysame, Minimal projections in 𝐿_{𝑝}-spaces, Univ. of Lancaster Math. Dept. Report, Lancaster, England, Sept. 1983.

5. On proximinality in 𝐿₁(𝑇×𝑆);Holland, S. M.;Proc. Amer. Math. Soc.,1982

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