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AN ANSWER TO THE INVARIANT SUBSPACE PROBLEM
, 901
"... Abstract. To answer to the invariant subspace problem, we show that every transcendental operator has a nontrivial invariant subspace. ..."
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Abstract. To answer to the invariant subspace problem, we show that every transcendental operator has a nontrivial invariant subspace.
INVARIANT SUBSPACES OF ABSTRACT MULTIPLICATION OPERATORS
, 1971
"... Invariant subspaces of abstract multiplication operators ..."
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Invariant subspaces of abstract multiplication operators
ALGEBRAIC ELEMENTS AND INVARIANT SUBSPACES
, 903
"... Abstract. We prove that if a completely nonunitary contraction T in L(H) has a nontrivial algebraic element h, then T has a nontrivial invariant subspace. ..."
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Abstract. We prove that if a completely nonunitary contraction T in L(H) has a nontrivial algebraic element h, then T has a nontrivial invariant subspace.
A SOLUTION TO THE INVARIANT SUBSPACE PROBLEM
, 909
"... Abstract. In this note, we answer the invariant subspace problem. ..."
Operator Equations and Invariant Subspaces
, 2000
"... Banach space operators acting on some fixed space X are considered. If two such operators A and B verify the condition A2 = B2 and if A has nontrivial invariant subspaces, then B has nontrivial invariant subspaces. If A and B commute and satisfy a special type of functional equation, and if A is n ..."
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Banach space operators acting on some fixed space X are considered. If two such operators A and B verify the condition A2 = B2 and if A has nontrivial invariant subspaces, then B has nontrivial invariant subspaces. If A and B commute and satisfy a special type of functional equation, and if A
INVARIANT SUBSPACES OF RL 1
, 2004
"... Abstract. In this note we extend D. Singh and A. A. W. Mehanna’s invariant subspace theorem for RH 1 (the real Banach space of analytic functions in H 1 with real Taylor coefficients) to the simply invariant subspaces of RL 1 (the real Banach space of functions in L 1 with real Fourier coefficients) ..."
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Abstract. In this note we extend D. Singh and A. A. W. Mehanna’s invariant subspace theorem for RH 1 (the real Banach space of analytic functions in H 1 with real Taylor coefficients) to the simply invariant subspaces of RL 1 (the real Banach space of functions in L 1 with real Fourier coefficients
Groupinvariant Subspace Clustering
"... Abstract—In this paper we consider the problem of groupinvariant subspace clustering where the data is assumed to come from a union of groupinvariant subspaces of a vector space, i.e. subspaces which are invariant with respect to action of a given group. Algebraically, such groupinvariant subspac ..."
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Abstract—In this paper we consider the problem of groupinvariant subspace clustering where the data is assumed to come from a union of groupinvariant subspaces of a vector space, i.e. subspaces which are invariant with respect to action of a given group. Algebraically, such groupinvariant
Invariant subspaces and limits of similarities
 Acta Sci. Math. (Szeged
"... Abstract. Let {Dn} be a sequence of bounded invertible operators on Hilbert space H. It is shown that the collection of operators T for which the normlimit limDnTD−1n exists is an algebra. Furthermore, some sufficient conditions on this sequence are established for the corresponding algebra to have ..."
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to have a nontrivial invariant subspace. By considering specific sequences of operators several invariant subspace results are obtained. 1.
Versal Deformations of Invariant Subspaces
"... We describe a miniversal deformation of invariant subspaces (with regard to a xed endomorphism). As a theoretical point of interest, we remark that the manifold of invariant subspaces is an orbit space. Also, we present an application to the \wild" problem of classifying invariant subspaces. 1 ..."
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We describe a miniversal deformation of invariant subspaces (with regard to a xed endomorphism). As a theoretical point of interest, we remark that the manifold of invariant subspaces is an orbit space. Also, we present an application to the \wild" problem of classifying invariant subspaces. 1
Relative Perturbation of Invariant Subspaces
, 1996
"... In this paper we consider the upper bound for the sine of the greatest canonical angle between the original invariant subspace and its perturbation. We present our recent results which generalize some of the results from the relative perturbation theory of indefinite Hermitian matrices. ..."
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In this paper we consider the upper bound for the sine of the greatest canonical angle between the original invariant subspace and its perturbation. We present our recent results which generalize some of the results from the relative perturbation theory of indefinite Hermitian matrices.
Results 1  10
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