In this paper we investigate the invariant and hyperinvariant subspace lattices of some operators. We give a lattice-theoretic description of the lattice of hyperinvariant subspaces of an operator in terms of its lattice of invariant subspaces. We also study the structure of these lattices for operators in certain equivalence classes of some equivalence relations.
| Published in | Mathematics and Computer Science (Volume 3, Issue 5) |
| DOI | 10.11648/j.mcs.20180305.12 |
| Page(s) | 102-112 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2018. Published by Science Publishing Group |
Invariant Subspace, Reducing Subspace, Hyperinvariant, Hyper-Reducing, Commutant, Bicommutant, Reducible, Irreducible Operator
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APA Style
Bernard Mutuku Nzimbi. (2018). A Note on Some Equivalences of Operators and Topology of Invariant Subspaces. Mathematics and Computer Science, 3(5), 102-112. https://doi.org/10.11648/j.mcs.20180305.12
ACS Style
Bernard Mutuku Nzimbi. A Note on Some Equivalences of Operators and Topology of Invariant Subspaces. Math. Comput. Sci. 2018, 3(5), 102-112. doi: 10.11648/j.mcs.20180305.12
AMA Style
Bernard Mutuku Nzimbi. A Note on Some Equivalences of Operators and Topology of Invariant Subspaces. Math Comput Sci. 2018;3(5):102-112. doi: 10.11648/j.mcs.20180305.12
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Download@article{10.11648/j.mcs.20180305.12,
author = {Bernard Mutuku Nzimbi},
title = {A Note on Some Equivalences of Operators and Topology of Invariant Subspaces},
journal = {Mathematics and Computer Science},
volume = {3},
number = {5},
pages = {102-112},
doi = {10.11648/j.mcs.20180305.12},
url = {https://doi.org/10.11648/j.mcs.20180305.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mcs.20180305.12},
abstract = {In this paper we investigate the invariant and hyperinvariant subspace lattices of some operators. We give a lattice-theoretic description of the lattice of hyperinvariant subspaces of an operator in terms of its lattice of invariant subspaces. We also study the structure of these lattices for operators in certain equivalence classes of some equivalence relations.},
year = {2018}
}
TY - JOUR T1 - A Note on Some Equivalences of Operators and Topology of Invariant Subspaces AU - Bernard Mutuku Nzimbi Y1 - 2018/12/28 PY - 2018 N1 - https://doi.org/10.11648/j.mcs.20180305.12 DO - 10.11648/j.mcs.20180305.12 T2 - Mathematics and Computer Science JF - Mathematics and Computer Science JO - Mathematics and Computer Science SP - 102 EP - 112 PB - Science Publishing Group SN - 2575-6028 UR - https://doi.org/10.11648/j.mcs.20180305.12 AB - In this paper we investigate the invariant and hyperinvariant subspace lattices of some operators. We give a lattice-theoretic description of the lattice of hyperinvariant subspaces of an operator in terms of its lattice of invariant subspaces. We also study the structure of these lattices for operators in certain equivalence classes of some equivalence relations. VL - 3 IS - 5 ER -
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