Results 11 to 20 of about 1,234 (221)
Additive idempotence preservers
Let \(\mathcal A\) be a local matrix algebra over a field of characteristic different from 2, \(\mathcal B\) an arbitrary algebra, and \(X\), \(Y\) Banach spaces. Additive maps \(\Phi :{\mathcal A}\rightarrow \mathcal B\) which preserve idempotents are characterized.
bojan kuzma
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Additive preservers of rank-additivity on matrix spaces
Summary: Let \(\mathbb{F}\) be a field. Let \({\mathcal V}\) denote the vector space of all \(m\times n\) matrices over \(\mathbb{F}\) or the vector space of all \(n\times n\) symmetric matrices over \(\mathbb{F}\) of characteristic not \(2\) or \(3\). For each fixed positive \(s\geq 2\), let \(Q_s\) denote the set of all matrix pairs \((A, B)\) in \({\
CHOOI, W, LIM, M
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Additive preservers of numerical range
Let \({\mathbf C}\) be the field of complex numbers, \(M_n\) be the set of all \(n\times n\)-matrices, \(T_n\) be the set of all upper triangular \(n\times n\)-matrices with complex coefficients, \(\langle x,y \rangle\) denotes the scalar product of two vectors, \(\|x\|^2=\langle x,x\rangle\). The numerical range of a matrix \(A\in M_n\) is the set \(W(
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On mappings preserving the sharp and star orders [PDF]
The present paper is devoted to the study of linear maps preserving certain relations, such as the sharp partial order and the star partial order in semisimple Banach algebras and C*-algebras.The first author is partially supported by the Spanish ...
A.C. Márquez-García +37 more
core +1 more source
Additive maps preserving the reduced minimum modulus of Banach space operators [PDF]
Let ${\mathcal B}(X)$ be the algebra of all bounded linear operators on an infinite dimensional complex Banach space $X$. We prove that an additive surjective map $\phi$ on ${\mathcal B}(X)$ preserves the reduced minimum modulus if and only if either ...
Bourhim, Abdellatif
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ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
wiley +1 more source
Additives and preservatives: Role in food allergy
Food additives are natural or synthetic substances added to foods at any stage of production to enhance flavor, texture, appearance, preservation, safety, or other qualities. Common categories include preservatives and antimicrobials, colorings and dyes, flavorings, antioxidants, stabilizers, and emulsifiers.
Pepper, Amber N. +2 more
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Liquid Preservation of Polymorphonuclear Leukocytes: Effect of Various Additives on Chemotaxis Preservation [PDF]
Adequate storage of polymorphonuclear leukocytes would allow an easier in vitro study of their structure and their functions, an easier study of polymorphonuclear leukocyte diseases (e.g. chronic granulomatous disease) and an easier use of polymorphonuclear leukocytes as a clinical tool (e.g. for localizing infections). Unfortunately, polymorphonuclear
Verstraeten, L. +3 more
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Linear preservers and quantum information science
Let $m,n\ge 2$ be positive integers, $M_m$ the set of $m\times m$ complex matrices and $M_n$ the set of $n\times n$ complex matrices. Regard $M_{mn}$ as the tensor space $M_m\otimes M_n$. Suppose $|\cdot|$ is the Ky Fan $k$-norm with $1 \le k \le mn$, or
Fosner, Ajda +3 more
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Clinical Insights Into Hypercalcemia of Malignancy in Childhood
ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
wiley +1 more source

