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The existence of p -convex tensor products of $$L_p(X)$$ L p ( X ) –spaces for the case of an arbitrary measure
Positivity ( IF 0.8 ) Pub Date : 2020-07-13 , DOI: 10.1007/s11117-020-00771-9 A. Ya. Helemskii
中文翻译:
对于任意度量而言,$$ L_p(X)$$ L p(X)–空间的p-凸张量积的存在
更新日期:2020-07-13
Positivity ( IF 0.8 ) Pub Date : 2020-07-13 , DOI: 10.1007/s11117-020-00771-9 A. Ya. Helemskii
We obtain the existence theorem for the projective tensor product of p-convex, \(p\in [1,\infty )\), \(L_p(X)\)-spaces, generalizing p-multinormed spaces of Dales et al. Earlier this result was known under additional assumptions on the measure space X. Now it is proved in full generality.
中文翻译:
对于任意度量而言,$$ L_p(X)$$ L p(X)–空间的p-凸张量积的存在
我们得到的投影张量积的存在定理p -凸,\(为p \ [1,\ infty)\) ,\(L_P(X)\) -spaces,概括p山谷等人的-multinormed空格。早先在度量空间X的其他假设下就知道了此结果。现在证明它是完全概括的。