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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.
A SOLUTION TO THE INVARIANT SUBSPACE PROBLEM
, 909
"... Abstract. In this note, we answer the invariant subspace problem. ..."
INVERSE SUBSPACE PROBLEMS WITH APPLICATIONS∗
"... Abstract. Given a square matrix A, the inverse subspace problem is concerned with determining a closest matrix to A with a prescribed invariant subspace. When A is Hermitian, the closest matrix may be required to be Hermitian. We measure distance in the Frobenius norm and discuss applications to Kry ..."
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Abstract. Given a square matrix A, the inverse subspace problem is concerned with determining a closest matrix to A with a prescribed invariant subspace. When A is Hermitian, the closest matrix may be required to be Hermitian. We measure distance in the Frobenius norm and discuss applications
On the hyperinvariant subspace problem III
, 2005
"... In two recent papers (Foias and Pearcy, J. Funct. Anal., in press, Hamid et al., Indiana Univ. Math. J., to appear), the authors reduced the hyperinvariant subspace problem for operators on Hilbert space to the question whether every C00(BCP)operator that is quasidiagonal and has spectrum the un ..."
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In two recent papers (Foias and Pearcy, J. Funct. Anal., in press, Hamid et al., Indiana Univ. Math. J., to appear), the authors reduced the hyperinvariant subspace problem for operators on Hilbert space to the question whether every C00(BCP)operator that is quasidiagonal and has spectrum
MEASURABLE CHOICE AND THE INVARIANT SUBSPACE PROBLEM
"... Azoff, Edward and Gilfeather, Frank, "Measurable Choice and the Invariant Subspace Problem " (1974). Faculty Publications, ..."
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Azoff, Edward and Gilfeather, Frank, "Measurable Choice and the Invariant Subspace Problem " (1974). Faculty Publications,
SUFFICIENT CONDITIONS FOR THE INVARIANT SUBSPACE PROBLEM
, 909
"... Abstract. In this note, we provide a few sufficient conditions for the invariant subspace problem. ..."
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Abstract. In this note, we provide a few sufficient conditions for the invariant subspace problem.
Completely Complemented Subspace Problem
"... . We will prove that, if every finite dimensional subspace of an infinite dimensional operator space E is 1completely complemented in it, E is 1Hilbertian and 1homogeneous. However, this is not true for finite dimensional operator spaces: we give an example of an ndimensional operator space E, ..."
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or column operator space. Keywords: Homogeneous operator spaces, completely bounded projections. AMS Subject Classification: Primary 47D15; Secondary 46A32, 46B28, 46C15. 1. Introduction. The problem of characterizing the Banach spaces for which all subspaces are complemented goes back at least
Equivalent Invariant Subspace Problems
"... . An elementary proof for the equivalence of two open questions for Hilbertspace operators is established: every contraction that does not belong to the class C 00 has a nontrivial invariant subspace if and only if every contraction which is a quasiaffine transform of a unitary operator has a n ..."
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. An elementary proof for the equivalence of two open questions for Hilbertspace operators is established: every contraction that does not belong to the class C 00 has a nontrivial invariant subspace if and only if every contraction which is a quasiaffine transform of a unitary operator has a
On the Hyperinvariant Subspace Problem. II
"... ABSTRACT. Recently in [6] the question of whether every nonscalar operator on a complex Hilbert space H of dimension @0 has a nontrivial hyperinvariant subspace was reduced to a special case; namely, the question whether every (BCP)operator in C00 whose left essential spectrum is equal to some ann ..."
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ABSTRACT. Recently in [6] the question of whether every nonscalar operator on a complex Hilbert space H of dimension @0 has a nontrivial hyperinvariant subspace was reduced to a special case; namely, the question whether every (BCP)operator in C00 whose left essential spectrum is equal to some
A Survey on the Complemented Subspace Problem ∗
, 2005
"... The complemented subspace problem asks, in general, which closed subspaces M of a Banach space X are complemented; i.e. there exists a closed subspace N of X such that X = M ⊕ N? This problem is in the heart of the theory of Banach spaces and plays a key role in the development of the Banach space t ..."
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The complemented subspace problem asks, in general, which closed subspaces M of a Banach space X are complemented; i.e. there exists a closed subspace N of X such that X = M ⊕ N? This problem is in the heart of the theory of Banach spaces and plays a key role in the development of the Banach space
Results 1  10
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5,058