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1.
Jordan [tau]-derivations of locally matrix rings
Ajda Fošner, Chen-Lian Chuang, Tsiu Kwen Lee, 2013, original scientific article

Abstract: Let ▫$R$▫ be a prime, locally matrix ring of characteristic not 2 and let ▫$Q_{ms}(R)$▫ be the maximal symmetric ring of quotients of ▫$R$▫. Suppose that ▫$\delta \colon R \to Q_{ms}(R)$▫ is a Jordan ▫$\tau$▫-derivation, where ▫$\tau$▫ is an anti-automorphism of $R$. Then there exists ▫$a \in Q_{ms}(R)$▫ such that ▫$\delta(x) = xa - a\tau(x)$▫ for all ▫$x \in R$▫. Let ▫$X$▫ be a Banach space over the field ▫$\mathbb{F}$▫ of real or complex numbers and let ▫$\mathcal{B}(X)$▫ be the algebra of all bounded linear operators on ▫$X$▫. We prove that ▫$Q_{ms}(\mathcal{B}(X)) = \mathcal{B}(X)$▫, which provides the viewpoint of ring theory for some results concerning derivations on the algebra ▫$\mathcal{B}(X)$▫. In particular, all Jordan ▫$\tau$▫-derivations of ▫$\mathcal{B}(X)$▫ are inner if ▫$\dim_{\mathbb{F}} X>1$▫.
Found in: ključnih besedah
Summary of found: ...\in R$▫. Let ▫$X$▫ be a Banach space over the field ▫$\mathbb{F}$▫ of real or...
Keywords: mathematics, algebra, anti-automorphism, locally matrix ring, prime ring, Jordan homomorphism, Jordan ▫$\tau$▫-derivation, Banach space
Published: 15.10.2013; Views: 2817; Downloads: 76
URL Full text (0,00 KB)

2.
Particulate matter (PM10) patterns in Europe
Jure Cedilnik, Janez Žibert, Jure Pražnikar, 2016, original scientific article

Found in: ključnih besedah
Summary of found: ...particular matter, non-negative matrix factorization, space-time patterns, synoptic situations, ...
Keywords: particular matter, non-negative matrix factorization, space-time patterns, synoptic situations
Published: 08.08.2016; Views: 2195; Downloads: 123
URL Full text (0,00 KB)

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