Definition of Subspaces. Meaning of Subspaces. Synonyms of Subspaces

- alone and the entire vector space itself are linear subspaces that are called the trivial subspaces of the vector space. In the vector space V = R3 (the...
- Look up subspace in Wiktionary, the free dictionary. Subspace may refer to: Subspace (mathematics), a particular subset of a parent space A subset of a...
- finite-dimensional subspace of a Banach space is complemented, but other subspaces may not. In general, classifying all complemented subspaces is a difficult...
- decomposes V into invariant subspaces of T. Many fundamental questions regarding T can be translated to questions about invariant subspaces of T. The set of T-invariant...
- subset coincides with subspace topology for this subset. If a topological space having some topological property implies its subspaces have that property...
- k^{n}} can be decomposed as the direct sum of Krylov subspaces.[clarification needed] Krylov subspaces are used in algorithms for finding approximate solutions...
- in a finite number of proper subspaces of Qn. A quantitative form of the theorem, which determines the number of subspaces containing all solutions, was...
- mathematics, in linear algebra and functional analysis, a cyclic subspace is a certain special subspace of a vector space ****ociated with a vector in the vector...
- In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity. Although many authors use the two terms perpendicular...
- the corresponding homogeneous linear system, which is a linear subspace. Linear subspaces, in contrast, always contain the origin of the vector space. The...