Résumé des résultats essentiels dans la théorie des produits tensoriels topologiques et des espaces nucléaires¶
Grothendieck, A. (1952). Résumé des résultats essentiels dans la théorie des produits tensoriels topologiques et des espaces nucléaires. Annales de l'Institut Fourier.
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Domain-specific¶
- Injective Tensor Product
- It is “injective” in the sense that an isometric inclusion of a factor into a larger Banach space remains isometric under this tensor norm (with the appropriate other factor), not because the tensor construction simply copies the ordinary algebraic tensor product.
This sourceDirectly checked at these locators; no unconditional detailed nuclearity equivalence is asserted here.
- It is “injective” in the sense that an isometric inclusion of a factor into a larger Banach space remains isometric under this tensor norm (with the appropriate other factor), not because the tensor construction simply copies the ordinary algebraic tensor product.
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