Results 11 to 20 of about 283 (216)
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
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Linear Transformations Preserving Potent Matrices [PDF]
Proceedings of the American Mathematical Society, 1993 Linear transformations of M n {M_n} , the algebra of n × n n \times n matrices over C \mathbb {C} , which preserve the set of all potent matrices, are characterized.
Brešar, Matej, Sěmrl, Peter
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Unbounded Disjointness Preserving Linear Functionals [PDF]
Monatshefte f�r Mathematik, 2004 Let \(X\) and \(Y\) be locally compact Hausdorff spaces and let \(C_0(X)\) be the Banach space of continuous (real or complex-valued) functions on \(X\) vanishing at infinity. A linear operator \(T:C_0(X) \to C_0(Y)\) is called disjointness-preserving if \(fg=0\) implies \(T(f) T(g) =0\) for all \(f,g\in C_0(X).\) \textit{K. ~Jarosz} [Can. Math.
Brown, Lawrence G., Wong, Ngai-Ching
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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
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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
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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
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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 ...
Hundsdorfer, Willem +2 more
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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
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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
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Linear Maps which Preserve or Strongly Preserve Weak Majorization [PDF]
Journal of Inequalities and Applications, 2007 The authors prove that a linear mapping \(A\) on \({\mathbb R}^n\) preserves (strongly preserves, resp.) one of the weak majorizations \(\prec_w\) or \(\prec^w\) if and only if \(A\) is nonnegative and preserves the majorization \(\prec\) (has the form \(x \mapsto rPx\) for some positive real number \(r\) and some \(n \times n\) permutation matrix \(P\)
Mohammad Ali Vali, Ahmad Mohammad Hasani
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