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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
Periodic invariant subspaces in control
, 2001
"... In this paper we present several different characterizations of invariant subspaces of periodic eigenvalue problems. We analyze their equivalence and discuss their use in control theory. ..."
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In this paper we present several different characterizations of invariant subspaces of periodic eigenvalue problems. We analyze their equivalence and discuss their use in control theory.
A SOLUTION TO THE INVARIANT SUBSPACE PROBLEM
, 909
"... Abstract. In this note, we answer the invariant subspace problem. ..."
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
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.
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
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 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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