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Direct sum of vector sub spaces in $\mathbb{R}^4$

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#linear-algebra #vector-spaces #direct-sum
1.7k
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Quotient Modules and their Direct Sum

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#abstract-algebra #modules #direct-sum #module-isomorphism
154
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A subbundle of a direct sum of vector bundles

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#vector-bundles #direct-sum
1.2k
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The bases of two subspaces form the basis of their direct sum - is my proof correct?

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#linear-algebra #proof-verification #vector-spaces #direct-sum
407
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Given a subspace $W$ of $V$, does there always exist $\overline{W}$ such that $V = W\oplus \overline{W}$?

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#vector-spaces #direct-sum
44
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Why specify certain vector space sums as direct?

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#vector-spaces #direct-sum
142
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Compute the $K$-theories of crossed products $K_0(C_0(\mathbb N\times G)\rtimes_r G)$ and $K_0(\ell^\infty(\mathbb N,C_0(G))\rtimes_r G)$

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#operator-algebras #c-star-algebras #direct-sum #k-theory
95
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Linear Algebra - direct sums

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#linear-algebra #vector-spaces #direct-sum
120
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Coproduct of metrizable vector spaces

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#general-topology #metric-spaces #category-theory #direct-sum
56
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Showing $A= A_r \bigoplus A_s$

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#group-theory #proof-verification #abelian-groups #direct-sum
89
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Simplifying sum involving combinations

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#summation #direct-sum
46
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Tensors of type $(r,s)$ in relation to tensor algebra $T(V)$

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#vector-spaces #tensor-products #direct-sum #dual-spaces
81
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$\ell^2$ is a projective limit in the Category of locally convex spaces?

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#limits #category-theory #topological-vector-spaces #direct-sum #locally-convex-spaces
102
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Is it true that $U \cap (W_1 \oplus W_2) = (U \cap W_1) \oplus (U \cap W_2)$?

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#linear-algebra #vector-spaces #direct-sum
799
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Direct sum of $L^2$ spaces

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#functional-analysis #hilbert-spaces #direct-sum

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