Projections on tensor product spaces

Halton, E. J.; Light, W. A.

doi:10.1090/S0002-9947-1985-0766211-7

Projections on tensor product spaces
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by E. J. Halton and W. A. Light PDF

Trans. Amer. Math. Soc. 287 (1985), 161-165 Request permission

Abstract:

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

References

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Linear operators

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Minimal projections in

spaces

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