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15
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Showing that $ \text{Ind}_H^G W \cong \text{Ind}_K^G(\text{Ind}_H^K W)$

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#linear-algebra #proof-verification #modules #representation-theory #vector-space-isomorphism
114
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if $T$ is isomorphism, how can I prove that $[T^{-1}]_B=[T]_B^{-1}$ for any base $B$ of $V$?

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#linear-algebra #vector-spaces #linear-transformations #vector-space-isomorphism
120
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Proofs on Isomorphism Problems

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#linear-algebra #functions #linear-transformations #vector-space-isomorphism
152
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Basis of vector spaces in perfect pairing

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#vector-spaces #eigenvalues-eigenvectors #vector-space-isomorphism #dual-spaces
96
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Linear isomorphism of quotient spaces

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#linear-algebra #vector-spaces #vector-space-isomorphism
107
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$V$ and $\mathcal{L}(\mathbf{F},V)$ are isomorphic

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#linear-algebra #proof-verification #linear-transformations #vector-space-isomorphism
960
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Isomorphic Hilbert spaces iff they have the same dimension

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#functional-analysis #hilbert-spaces #vector-space-isomorphism
816
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Vector space isomorphic to direct sum

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#abstract-algebra #vector-spaces #modules #direct-sum #vector-space-isomorphism
214
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Trying to find the dimension of a vector space...

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#linear-algebra #vector-spaces #linear-transformations #vector-space-isomorphism
394
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$V^*$ is isomorphic to the direct product of copies of $F$ indexed by $A$

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#abstract-algebra #vector-spaces #vector-space-isomorphism #dual-spaces #direct-product
54
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l^-1∈L(w;v) is bijective?

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#linear-algebra #linear-transformations #vector-space-isomorphism
1.7k
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Prove that $V$ is isomorphic to $W \times V/W$.

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#linear-algebra #abstract-algebra #proof-verification #vector-space-isomorphism
427
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Finding an isomorphism between two vector spaces

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#linear-algebra #vector-space-isomorphism
3.3k
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Isomorphism between quotient space $X/M$ and the orthogonal complement of $M$.

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#banach-spaces #vector-space-isomorphism
437
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To show an operator is an isomorphism

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#vector-space-isomorphism

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