List questions from tensor-products

Published on 06 May 2026 - 1:40

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Inclusions in tensor products

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How to prove that $f\otimes g: V\otimes W\to X\otimes Y$ is a monomorphism

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What does a direct sum of tensor products look like?

Published on 13 May 2026 - 21:05

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Tensors transformations under $so(4)$

Published on 11 May 2026 - 10:11

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Tensor modules of tensor algebras

Published on 14 May 2026 - 11:47

110

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projective and Haagerup tensor norms

Published on 29 Apr 2026 - 12:16

355

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Algebraic Tensor product of Hilbert spaces

Published on 29 Apr 2026 - 12:15

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Why $\displaystyle\lim_{n\to+\infty}x_n\otimes y_n=x\otimes y\;?$

Published on 13 May 2026 - 20:56

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Proposition 3.7 in Atiyah-Macdonald (Tensor product of fractions is fraction of tensor product)

Published on 11 May 2026 - 9:40

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Dual of linear map into a tensor product

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How can we show that $E\:\hat⊗_π F→E\:\hat⊗_ε\:F↪\mathfrak B(E',F')$ is injective iff $E\:\hat⊗_π F→(E'⊗_εF')'↪\mathfrak B(E',F')$ is injective?

Published on 13 May 2026 - 22:10

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Hom and tensor in local Ring

Published on 14 May 2026 - 12:07

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Silly Question about tensor products and universal property

Published on 11 May 2026 - 18:07

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If $L∈\mathfrak L(X⊗_πY,E)$, then $\sup_{\left\|x\right\|_X,\:\left\|y\right\|_Y\:≤\:1}\left\|L(x⊗y)\right\|_E=\sup_{π(u)\:≤\:1}\left\|Lu\right\|_E$

Published on 14 May 2026 - 8:27

List Question

Tensor product commutes with infinite products

Inclusions in tensor products

How to prove that $f\otimes g: V\otimes W\to X\otimes Y$ is a monomorphism

What does a direct sum of tensor products look like?

Tensors transformations under $so(4)$

Tensor modules of tensor algebras

projective and Haagerup tensor norms

Algebraic Tensor product of Hilbert spaces

Why $\displaystyle\lim_{n\to+\infty}x_n\otimes y_n=x\otimes y\;?$

Proposition 3.7 in Atiyah-Macdonald (Tensor product of fractions is fraction of tensor product)

Dual of linear map into a tensor product

How can we show that $E\:\hat⊗_π F→E\:\hat⊗_ε\:F↪\mathfrak B(E',F')$ is injective iff $E\:\hat⊗_π F→(E'⊗_εF')'↪\mathfrak B(E',F')$ is injective?

Hom and tensor in local Ring

Silly Question about tensor products and universal property

If $L∈\mathfrak L(X⊗_πY,E)$, then $\sup_{\left\|x\right\|_X,\:\left\|y\right\|_Y\:≤\:1}\left\|L(x⊗y)\right\|_E=\sup_{π(u)\:≤\:1}\left\|Lu\right\|_E$

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