Results 11 to 20 of about 306 (236)
Linear transformations of tropical matrices preserving the cyclicity index
Special Matrices, 2021 We combine matrix theory and graph theory methods to give a complete characterization of the surjective linear transformations of tropical matrices that preserve the cyclicity index.
Guterman Alexander +2 more
doaj +1 more source
Linear Maps Preserving the Set of Semi-Weyl Operators
Mathematics, 2023 Let H be an infinite-dimensional separable complex Hilbert space and B(H) the algebra of all bounded linear operators on H. In this paper, we characterized the linear maps ϕ:B(H)→B(H), which are surjective up to compact operators preserving the set of ...
Wei-Yan Yu, Xiao-Hong Cao
doaj +1 more source
The Linear Coordinate Preserving Problem [PDF]
Communications in Algebra, 2008 We prove that every K-endomorphism of a rank 2 polynomial algebra over an algebraically closed field K of positive characteristic taking all linear coordinates to coordinates is an automorphism. We give a new characterization of coordinates of K[t][x, y], where K is an algebraically closed field of any characteristic.
Gong, SJ, Yu, JT
openaire +3 more sources
Linear maps preserving equivalence or asymptotic equivalence on Banach space
Open Mathematics, 2023 Let XX be a complex Banach space with dimension at least two and B(X)B\left(X) the algebra of all bounded linear operators on XX. We show that a bijective linear map Φ\Phi preserves asymptotic equivalence if and only if it preserves equivalence, and in ...
Qin Zijie, Chen Lin
doaj +1 more source
Monotonicity-Preserving Linear Multistep Methods [PDF]
SIAM Journal on Numerical Analysis, 2003 The authors consider several linear multistep methods for ordinary differential equations and provide an analysis of their monotonicity properties, which mainly include positivity and the diminishing of total variation. It is shown that suitable starting procedures allow for statements on monotonicity for important classes of methods not covered by ...
Willem Hundsdorfer +2 more
openaire +2 more sources
Linear preservers of acu-majorization on $\mathbb{R}^3$ and $M_{3,m}$ [PDF]
Journal of Mahani Mathematical ResearchIn this note, we present an equivalent condition for linear preservers of group majorization induced by closed subgroup $G$ of $O(\mathbb{R}^n)$. Moreover, a new concept of majorization is defined on $\mathbb{R}^3$ as acu-majorization and this is ...
Mohammad Soleymani
doaj +1 more source
Linear maps preserving A-unitary operators [PDF]
Mathematica Bohemica, 2016 Summary: Let \(\mathcal{H}\) be a complex Hilbert space, \(A\) a positive operator with closed range in \(\mathcal{B}(\mathcal{H})\) and \(\mathcal{B}_{A}(\mathcal{H})\) the sub-algebra of \(\mathcal{B}(\mathcal{H})\) of all \(A\)-self-adjoint operators. Assume \(\varphi\colon\mathcal{B}_{A}(\mathcal{H})\) onto itself is a linear continuous map.
Abdellatif Chahbi +2 more
openaire +3 more sources
Linear Satisfiability Preserving Assignments
Journal of Artificial Intelligence Research, 2018 In this paper, we study several classes of satisfiability preserving assignments to the constraint satisfaction problem (CSP). In particular, we consider fixable, autark and satisfying assignments. Since it is in general NP-hard to find a nontrivial (i.e., nonempty) satisfiability preserving assignment, we introduce linear satisfiability preserving ...
Kei Kimura, Kazuhisa Makino
openaire +2 more sources
Linear Mappings that Preserve Potent Operators [PDF]
Proceedings of the American Mathematical Society, 1995 Summary: Let \(H\) and \(K\) be complex Hilbert spaces, while \({\mathcal B}(H)\) and \({\mathcal B}(K)\) denote the algebras of all linear bounded operators on \(H\) and \(K\), respectively. We characterize surjective linear mappings from \({\mathcal B}(H)\) onto \({\mathcal B}(K)\) that preserve potent operators in both directions.
Omladič, Matjaž, Šemrl, Peter
openaire +1 more source
On multiplicative (strong) linear preservers of majorizations [PDF]
Sahand Communications in Mathematical Analysis, 2016 In this paper, we study some kinds of majorizations on $textbf{M}_{n}$ and their linear or strong linear preservers. Also, we find the structure of linear or strong linear preservers which are multiplicative, i.e.
Mohammad Ali Hadian Nadoshan +1 more
doaj