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invariant subspace

   Also found in: Wikipedia 0.01 sec.
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.
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Sun, Sampling theorems for multivariate shift invariant subspaces, Sampl.
A generalized sampling theorem for frequency localized signals by Hammerich, Edwin / Sampling Theory in Signal and Image Processing
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.
A (terse) introduction to linear algebra by SciTech Book News
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.
Coupled maps: local bifurcations of fixed points initiate global ... by Dobrynskii, Vladimir A. / Advances in Dynamical Systems and Applications
 
 
 
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