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Title
Hilbert space operators with compatible off-diagonal corners
Source
ArXiv
Date
2017
Author
Livshits, L.; MacDonald, G.; Marcoux, L.W.; Radjavi, H.
Genre
Journal Article
Abstract
Given a complex, separable Hilbert space H, we characterize those operators for which kP T(I − P)k = k(I − P)T Pk for all orthogonal projections P...
Volume
1709.01840v1
DOI
10.1016/j.jfa.2018.04.002
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Title
A Perron-Frobenius-type theorem for positive matrix semigroups
Source
Positivity
Date
2016
Author
Livshits, L.; MacDonald, G.; Radjavi, H.
Genre
Journal Article
Start Page
1
DOI
10.1007/s11117-016-0403-7
Publication Status
PUBLISHED
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Title
A simultaneous Wielandt positivity theorem
Source
Positivity
Date
2015
Author
MacDonald, Gordon; Radjavi, Heydar
Genre
Journal Article
Volume
19
Issue
1
Start Page
149
DOI
10.1007/s11117-014-0289-1
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Title
A spatial version of Wedderburn's principal theorem
Source
Linear and Multilinear Algebra
Date
2015
Author
Livshits, L.; MacDonald, G. W.; Marcoux, L. W.; Radjavi, H.
Genre
Journal Article
Volume
63
Issue
6
Start Page
1216
DOI
10.1080/03081087.2014.925452
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Title
Paratransitive algebras of linear operators
Source
Linear Algebra and its Applications
Date
2013
Author
Livshits, L.; MacDonald, G.; Marcoux, L.W.; Radjavi, H.
Genre
Journal Article
Abstract
In this article we study a natural weakening – which we refer to as paratransitivity – of the well-known notion of transitivity of an algebra AA of...
Volume
439
Issue
7
Start Page
1955
DOI
10.1016/j.laa.2013.05.027
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Title
Paratransitive algebras of linear operators II
Source
Linear Algebra and its Applications
Date
2013
Author
Livshits, L.; MacDonald, G.; Marcoux, L.W.; Radjavi, H.
Genre
Journal Article
Abstract
In this paper, the authors continue the analysis, first undertaken in Livshits et al. (2013) [2], of algebras AA of linear transformations on an n...
Volume
439
Issue
7
Start Page
1974
DOI
10.1016/j.laa.2013.05.028
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Title
On the dimension of linear spaces of nilpotent matrices
Source
Linear Algebra and its Applications
Date
2012
Author
MacDonald, G. W.; MacDougall, J. A.; Sweet, L. G.
Genre
Journal Article
Volume
436
Start Page
2210
DOI
10.1016/j.laa.2011.10.028
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Title
Composition operators on the Newton space
Source
Journal of Functional Analysis
Date
2011
Author
MacDonald, Gordon; Rosenthal, Peter
Genre
Journal Article
Volume
260
Issue
9
Start Page
2518
DOI
10.1016/j.jfa.2011.01.011
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Title
Universal bounds for matrix semigroups
Source
Studia Mathematica
Date
2011
Author
Livshits, Leo; MacDonald, Gordon; Radjavi, Heydar
Genre
Journal Article
Volume
203
Issue
1
Start Page
69
DOI
10.4064/sm8421-3-2016
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Title
Multiplicative diagonals of matrix semigroups
Source
Electronic Journal of Linear Algebra
Date
2011
Author
Livshits, L.; MacDonald, G.; Radjavi, H.
Genre
Journal Article
Volume
22
Start Page
252
DOI
10.13001/1081-3810.1438
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Bookmarks:
Title
Positive matrix semigroups with binary diagonals
Source
Positivity
Date
2011
Author
Livshits, L.; MacDonald, G.; Radjavi, H.
Genre
Journal Article
Volume
15
Issue
3
Start Page
411
DOI
10.1007/s11117-010-0092-6
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Title
A Kadison transitivity theorem for $C\sp *$-semigroups
Source
Journal of Functional Analysis
Date
2008
Author
Livshits, L.; MacDonald, G.; Marcoux, L. W.; Radjavi, H.
Genre
Journal Article
Volume
254
Issue
1
Start Page
246
DOI
10.1016/j.jfa.2007.09.013
Publication Status
PUBLISHED
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Bookmarks:
Title
Distance from Idempotents to Nilpotents
Source
Canadian Journal of Mathematics / Journal Canadien de Mathématiques
Date
2007
Author
MacDonald, Gordon W.
Genre
Journal Article
Volume
59
Issue
3
Start Page
638
DOI
10.4153/CJM-2007-027-x
Publication Status
PUBLISHED
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Bookmarks:
Title
Topologically transitive matrix semigroups
Source
Operators and Matrices
Date
2007
Author
Livshits, Leo; MacDonald, Gordon; Radjavi, Heydar
Genre
Journal Article
Volume
1
Issue
2
Start Page
165
DOI
10.7153/oam-01-11
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Bookmarks:
Title
Standard triangularization of semigroups of non-negative operators
Source
Journal of Functional Analysis
Date
2005
Author
MacDonald, Gordon W.; Radjavi, Heydar
Genre
Journal Article
Volume
219
Issue
1
Start Page
161
DOI
10.1016/j.jfa.2004.04.002
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Bookmarks:
Title
Common fixed points and common eigenvectors for sets of matrices
Source
Linear and Multilinear Algebra
Date
2005
Author
Bernik, J.; Drnovsek, R.; Kosir, T.; Laffey, T.; MacDonald, Gordon W.; Meshulam, R.; Omladic, M.; Radjavi, H.
Genre
Journal Article
Abstract
The following questions are studied: Under what conditions does the existence of a (nonzero) fixed point for every member of a semigroup of...
Volume
53
Issue
2
Start Page
137
DOI
10.1080/03081080410001714714
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Bookmarks:
Title
Operator semigroups for which reducibility implies decomposability
Source
Positivity
Date
2003
Author
Livshits, L.; MacDonald, Gordon W.; Mathes, B.; Radjavi, H.
Genre
Journal Article
Abstract
A description of the lattice of invariant subspaces is provided for multiplicative semigroups S of bounded operators on L-p(X, mu) which are closed...
Volume
7
Issue
3
Start Page
195
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Bookmarks:
Title
Matrix semigroups with commutable rank
Source
Semigroup Forum
Date
2003
Author
Livshits, L.; MacDonald, Gordon W.; Mathes, B.; Okninski, J.; Radjavi, H.
Genre
Journal Article
Abstract
We focus on matrix semigroups (and algebras) on which rank is commutable [rank(AB) = rank(BA)]. It is shown that in a number of cases (for example,...
Volume
67
Issue
2
Start Page
288
DOI
10.1007/s00233-002-0013-5
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Bookmarks:
Title
An irreducible semigroup of non-negative square-zero operators
Source
Integral Equations and Operator Theory
Date
2002
Author
Drnovsek, R.; Kokol-Bukovsek, D.; Livshits, L.; MacDonald, Gordon W.; Omladic, M.; Radjavi, H.
Genre
Journal Article
Abstract
We construct an irreducible multiplicative semigroup of non-negative square-zero operators acting on L-P[0, 1), for 1 less than or equal to p
Volume
42
Issue
4
Start Page
449
DOI
10.1007/bf01270922
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Bookmarks:
Title
Intersections of nest algebras in finite dimensions
Source
Linear Algebra and its Applications
Date
2002
Author
Fillmore, P. A.; Longstaff, W. E.; MacDonald, Gordon W.; Radjavi, H.; Zhong, Y.
Genre
Journal Article
Volume
350
Start Page
185
DOI
10.1016/s0024-3795(02)00296-3

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