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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




Bookmarks:

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




Bookmarks:

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




Bookmarks:

Title: A spatial version of Wedderburn's principal theorem
Source: Linear 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




Bookmarks:

Title: Paratransitive algebras of linear operators
Source: Linear Algebra & 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




Bookmarks:

Title: Paratransitive algebras of linear operators II
Source: Linear Algebra & 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




Bookmarks:

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




Bookmarks:

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




Bookmarks:

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




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




Bookmarks:

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




Bookmarks:

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




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




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




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




Bookmarks:

Title: Common fixed points and common eigenvectors for sets of matrices
Source: Linear & 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




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




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




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




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

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