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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
Proper contractions and invariant subspaces
 Internat. J. Math. Math. Sci
"... Abstract. It is shown that if a paranormal contraction T has no nontrivial invariant subspace, then it is a proper contraction. Moreover, the nonnegative operator Q = T 2∗T 2 − 2T ∗T + I also is a proper contraction. If a quasihyponormal contraction has no nontrivial invariant subspace then, in addi ..."
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Abstract. It is shown that if a paranormal contraction T has no nontrivial invariant subspace, then it is a proper contraction. Moreover, the nonnegative operator Q = T 2∗T 2 − 2T ∗T + I also is a proper contraction. If a quasihyponormal contraction has no nontrivial invariant subspace then
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
Results 1  10
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138,990