Results 11 to 20 of about 4,755,611 (236)
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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SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS [PDF]
Journal of Mahani Mathematical Research, 2018 A matrix R is said to be g-row substochastic if Re ≤ e. For X, Y ∈ Mn,m, it is said that X is sglt-majorized by Y , X ≺sglt Y , if there exists an n-by-n lower triangular g-row substochastic matrix R such that X = RY .
Asma Ilkhanizadeh Manesh
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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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A note on preserving the spark of a matrix
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015 Let Mm× n(F) be the vector space of all m× n matrices over a field F. In the case where m ≥ n, char (F) ≠ 2 and F has at least five elements, we give a complete characterization of linear maps Φ : Mm× n(F) → Mm× n(F) such that spark(Φ (A)) = spark(A) for
Marcin Skrzynski
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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 Inverses of Tensor Products of Hermite Matrices
Journal of Mathematics Research, 2023 Let C be a complex field, H_{m_1m_2} be a linear space of tensor products of Hermite matrices H_{m_1}⊗H_{m_2} over C , and suppose m_{1}, m_2≥2 are positive integers. A linear map f :H_{m_1m_2} → H_n is called a linear inverse preserver if f( X_{1} ⊗X_{2}
Shuangshuang Yan, Yang Zhang
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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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Linear preserver problems: A brief introduction and some special techniques
, 1992 Linear preserver problems concern the characterization of linear operators on matrix spaces that leave certain functions, subsets, relations, etc., invariant.
Chi-Kwong Li, N. Tsing
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On Some Applications of Matrix Partial Orders in Statistics [PDF]
International Journal of Management, Knowledge and Learning, 2020 In statistics different partial orders appear as useful in several cases. Three of the best known partial orders defined on (sub)sets of real or complex matrices are the Löwner, the minus and the star partial orders.
Iva Golubić, Janko Marovt
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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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