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invariant subspace |
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invariant subspace [in‚ver·ē·ənt ′səb‚spās] (mathematics) For a bounded operator on a Banach space, a closed linear subspace of the Banach space such that the operator takes any point in the subspace to another point in the subspace. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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| Sections start with coverage of vector spaces, progressing to linear operators and matrices, the duality of vector spaces, determinants, invariant subspaces, inner-product spaces, structure theorems, and additional topics such as functions of an operator, quadratic forms, Perron-Frobenius theory, stochastic matrices, and representations of finite groups. We prove in such a case that these point bifurcations which are transversal to the invariant subspace generate two periodic of period 2 points in a neighbourhood of the given point and besides can simultaneously give rise to orbits that are homoclinic to the periodic points. Exact solutions and invariant subspaces of nonlinear partial differential equations in mechanics and physics. |
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