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However, it's not: distributivity fails. That is, the lattices of linear subspaces (with operations + {\displaystyle +} and ∩ {\displaystyle \cap } )...

I was working on a revision of linear subspace, and I found that the material naturally bifurcates (at least in my mind) into things having to do with...

actually a linear algebra topic, and largely superseded with Cartesian coordinate system and Affine coordinate system (see below). “Euclidean subspace”: there...

That means a subspace is a linear subspace, the kind passing through the origin. It is recommended that subset be substituted for subspace in the description...

definition of linear span was switched here from the set of all linear combinations of elements in S to the intersection of all subspaces containing S...

algebra, a projection is a linear transformation from a vector space onto a subspace which does not move the points in the subspace. Both definitions are correct...

(concrete) operator system V on a Hilbert Space H is a norm closed linear subspace V of B(H) which is self-adjoint and unital — Preceding unsigned comment...

just k-dimensional linear subspaces)? Ryan Reich (talk) 14:49, 23 April 2008 (UTC) Points in the Grassmannian are linear subspaces; they contain the origin...

either that all elements in an ordered subspace go to real numbers or all positive elements of the ordered subspace go to nonnegative real numbers. ᛭ LokiClock...

to the invariant subspace problem, means to answer affirmatively the following equivalent question: does there exist a bounded linear operator T : H →...

field of complex numbers. The affine line is a shifted one-dimensional linear subspace, but in the complex case this is topologically a 2-dimensional manifold...

det X T X {\displaystyle \det X^{T}X} tests for linear independence? Here is an argument: the 4-D subspace { x 1 , . . . , x 4 } {\displaystyle \{\mathbf...

article on invariant subspaces. So, Let V and U be subspaces of W such that W is the orthogonal sum of U and V. Let T be a linear mapping such that T:...

claimed form. The left ideals correspond to $D$-linear subspaces of $D^n$, where a $D$-linear subspace $L \subset D^n$ is associated to the ideal of $M_n(D)$...

the wrong suggestion that a closed operator needs to be defined on a linear subspace of some space B with values in the same space B. Actually the domain...

colors being a 3D linear subspace of spectral power space, corresponding to the retina having three types of receptors with different linear spectral weightings...

16:55, 4 March 2011 (UTC) Is there a typo in that string? "Multilinear subspace learning#Algorithms are higher-order generalizations . . . ." (PeacePeace...

data". The definition in this article states:- A linear code of length n and rank k is a linear subspace C with dimension k of the vector space F q n {\displaystyle...

denotes the linear span. Mct mht 16:24, 13 October 2007 (UTC) That's the same thing as what I said, since the orthogonal subspace is a linear subspace anyway...

closed linear subspace. Null vectors in a pseudoeuclidean space, i.e. v such as v∙v = 0. This is not a linear subspace but a quadric, and its linear span...