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15
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$V / K \times K \cong V$ for vector spaces

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#linear-algebra #abstract-algebra #quotient-spaces #vector-space-isomorphism
48
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Proving that a composition is a linear transformation

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#linear-algebra #abstract-algebra #vector-spaces #linear-transformations #vector-space-isomorphism
49
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Can we show that if 2 spaces defined with a norm are isomorphic and one of them is Banach, then the other space is also Banach?

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#banach-spaces #harmonic-analysis #vector-space-isomorphism
54
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Some questions about a proposition that leads to definition of affine morphism

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#vector-spaces #group-actions #affine-geometry #vector-space-isomorphism #morphism
33
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Inverse map for the isomorphism between $L_q$ and $L^*_p$

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#functional-analysis #linear-transformations #vector-space-isomorphism
55
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Isomorphism between $L(V) \otimes L(W)$ and $L(V \otimes W)$

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#linear-transformations #tensor-products #vector-space-isomorphism
285
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How to prove that x $\longrightarrow$ x$_B$ gives a bijective linear map between V and $\mathbb{R}^n$?

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#linear-algebra #vector-spaces #vector-space-isomorphism
61
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How to determine if this isomorphism is a linear transformation?

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#linear-algebra #linear-transformations #vector-space-isomorphism
151
Views

Is a bounded linear operator, which is bijective between dense subspaces, an isomorphism?

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#general-topology #functional-analysis #operator-theory #banach-spaces #vector-space-isomorphism
60
Views

Can someone please explain this vector space definition to me?

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#linear-algebra #vector-spaces #group-homomorphism #vector-space-isomorphism
907
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Isomorphism between $V^* \otimes V$ and End$(V)$

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#linear-algebra #tensor-products #vector-space-isomorphism
166
Views

Friedberg Linear Algebra problems

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#vector-space-isomorphism
142
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Relation between isomorphism and bases

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#linear-algebra #vector-spaces #proof-writing #vector-space-isomorphism
216
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Show map is not a isomorphism

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#linear-algebra #vector-spaces #vector-space-isomorphism
137
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Question about isometric isomorphism between normed spaces.

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#functional-analysis #measure-theory #normed-spaces #isometry #vector-space-isomorphism

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