invariant subspaces
Contractions without non trivial invariant subspaces satisfying a positivity condition
... non-trivial invariant subspaces, then A is a quasi-affinity ...non-trivial invariant subspace, then A is a proper contraction such that D m(n) ∈ C is a strongly ...
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The closedness of shift invariant subspaces in \(L^{p,q} (\mathbb{R}^{d+1} )\)
... spaces [2–6]. They are very important for the study of sampling and equation problems, since we can consider functions to be independent quantities with different properties [5–8]. Recently, Torres, Ward, Li, Liu and ...
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Cryptanalysis of Yasuda, Takagi and Sakurai's Signature Scheme Using Invariant Subspaces
... certain invariant subspaces and finding an appropriate basis for each of ...of invariant subspaces [Cla] to solve this geometric problem and compute an equivalent ...
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Absolute and relative perturbation bounds for invariant subspaces of diagoalisable matrices
... 3. Absolute and relative bounds share the same subspace condition numbers, namely the conditioning of the perturbed subspace basis and the conditioning of an unwanted left subspace basis. This suggests that ...
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A Note on Some Equivalences of Operators and Topology of Invariant Subspaces
... the invariant and hyperinvariant subspace lattices of some ...hyperinvariant subspaces of an operator in terms of its lattice of invariant ...
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Invariant subspaces for polynomially compact almost superdiagonal operators on l(pi)
... The purpose of this paper is to show that almost superdiagonal, polynomially compact operators on the sequence space lpi have nontrivial, closed invariant subspaces if the nonlocally co[r] ...
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Applications of fixed point theorems in the theory of invariant subspaces
... In Section we present a recent result of Lomonosov, Radjavi, and Troitsky [] about the existence of invariant subspaces for localizing algebras. The proof of this result is based on the Ky Fan fixed point ...
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INVARIANT SUBSPACES, DERIVATIVE ARRAYS, AND THE COMPUTATION OF THE DRAZIN INVERSE
... In Section 2 we shall review some of the basic theory of the Drazin in- verse. In Section 3 we shall present three methods for the computation of the Drazin inverse based on the determination of certain invariant ...
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Invariant Subspaces of Compact Operators and Related Topics
... The invariant subspace problem has become famous due to its simple statement yet elusive ...its invariant subspaces can then be used to bootstrap an understanding of the operator in its ...nontrivial ...
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On some linear groups, having a big family of \(G\)-invariant subspaces
... of action of a group G. We have the following simple fact: if every subspace of A is G-invariant, then G must be abelian. Consequently the study of infinite dimensional linear groups having very big family of ...
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Proper contractions and invariant subspaces
... and so T x ∈ ᏹ (see also [6, page 9]). Now let T be a hyponormal contraction. If T < 1, then it is trivially a proper contraction. If T = 1 and T has no nontrivial invariant subspace, then ᏹ = { x ∈ Ᏼ : T x = x ...
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Weak*-closed invariant subspaces and ideals of semigroup algebras on foundation semigroups
... translation invariant subspace of ( ( ...translation invariant complemented in ( ( )) or equivalently, if X is the range of a bounded projection on ( ( )) commuting with left ...translation invariant ...
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Certain invariant subspaces for operators with rich eigenvalues
... Let H be a separable Hilbert space and let BH denote the algebra of all bounded For T c BH the spectrum, point spectrum, compression linear operators on H... oT,op T, For the appropriate[r] ...
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Cycling chaotic attractors in two models for dynamics with invariant subspaces
... White Rose Consortium ePrints Repository http://eprints.whiterose.ac.uk/ This is an author produced version of a paper published in Chaos.. This paper has been peer-reviewed but does not[r] ...
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Vol 2, No 9 (2011)
... [3] Richter S., Unitary equivalence of invariant subspaces of Bergman and Dirichlet spaces, Pacific J.. L., Weighted shift operators and analytic function theory, Math[r] ...
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Inner functions and operator theory
... include invariant subspaces, universal operators, Hankel and Toeplitz operators, model spaces, truncated Toeplitz operators, restricted shifts, numerical ranges, and interpola- ...
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On the Bifurcations of Dean Flow between Porous Horizontal Cylinders with a Radial Flow and a Radial Temperature Gradient
... the invariant subspaces, there correspond the motions of a fluid, which has the concrete physical nature [32]-[44]: main stationary flow; vortex flows, ...the invariant subspaces, ...
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Criteria for robustness of heteroclinic cycles in neural microcircuits
... Winnerless competition has previously been used to describe the competition of modes where at each mode a different neuron or neuron ensemble is active and other neurons or neuron ensembles remain inactive [8, 34]. This ...
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Translation planes of dimension two and characteristic two
... is not a 2-group, either it contains a group of affine homologies or its minimal invariant subspaces have dimension 2 and the induced group is dihedral... If G is reducible, it has an in[r] ...
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