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...
- k^{n}} can be decomposed as the direct sum of Krylov subspaces.[clarification needed] Krylov subspaces are used in algorithms for finding approximate solutions...
- hereditary. If only closed subspaces must share the property we call it weakly hereditary. Every open and every closed subspace of a completely metrizable...
- {\displaystyle d} dimensions. If the subspaces are not axis-parallel, an infinite number of subspaces is possible. Hence, subspace clustering algorithms utilize...
- 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...
- equations Row and column spaces Row reduction Four fundamental subspaces Vector space Linear subspace Linear operator Function space Fredholm alternative Weisstein...