Results 1 to 10 of about 168 (168)
Extensions of Witness Mappings [PDF]
Order, 2011 We deal with the problem of coexistence in interval effect algebras using the notion of a witness mapping. Suppose that we are given an interval effect algebra $E$, a coexistent subset $S$ of $E$, a witness mapping $β$ for $S$, and an element $t\in E\setminus S$. We study the question whether there is a witness mapping $β_t$ for $S\cup\{t\}$ such that $
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On the extension of quasisymmetric maps
Annales Academiae Scientiarum Fennicae Mathematica, 2016 Quasisymmetric mappings as well as \(\varepsilon\)-power-quasisymmetric mappings are considered. It is proved that such mappings have a continuous extension from a given \(c\)-sturdy set to the Euclidean \(n\)-space. Moreover, the above extension is \(C\varepsilon\)-power-quasisymmetric for some \(C\) depending only on \(c\) and \(n\).
Trotsenko +2 more
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On extensions of bilinear maps
Mathematica Slovaca, 2022 Abstract The paper deals with extension of bounded bilinear maps. It gives a necessary and sufficient condition for extending a bounded bilinear map on the Cartesian product of subspaces of Banach spaces. This leads to a full characterization for extension of bounded bilinear maps on the Cartesian product of arbitrary subspaces of ...
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Equivariant extensions of maps [PDF]
Pacific Journal of Mathematics, 1973 This paper treats extension and retraction properties in the category *$/9 of compact metric spaces with periodic maps of a prime period p; the subspaces and maps in J^p are called equivariant subspaces and maps, respectively. The motivation of the paper is the following question: Let E be a Euclidean space and α: E X E-> E X E be the involution (x, y)
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An Extension of Banach's Mapping Theorem [PDF]
Proceedings of the American Mathematical Society, 1969 The following mapping theorem of Banach [I] is well known. It is the basis of most proofs of the Schroder-Bernstein equivalence theorem. If X and Y are sets and f: X-* Y and g: Y-*X are injective mappings, then there exists partitions2 X=X1+X2 and Y= Yi+ Y2 such that f (Xj) = Yi and g(Y2) =X2.
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An Extension of the Spectral Mapping Theorem [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 We give an extension of the spectral mapping theorem on hypergroups and prove that if K is a commutative strong hypergroup with and κ is a weakly continuous representation of M(K) on a W∗‐algebra such that for every t ∈ K, κt is an ∗‐automorphism, spκ is a synthesis set for L1(K) and κ(L1(K)) is without order, then for any μ in a closed regular ...
A. R. Medghalchi, S. M. Tabatabaie
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Extension Dimension and Refinable Maps
Acta Mathematica Hungarica, 2001 Extension dimension is characterized in terms of $ω$-maps. We apply this result to prove that extension dimension is preserved by refinable maps between metrizable spaces. It is also shown that refinable maps preserve some infinite-dimensional properties.
Chigogidze, A., Valov, V.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Primary lung carcinomas and bronchial carcinoid tumors (BC) are very rare malignancies in childhood. While typical BC and mucoepidermoid carcinomas are mostly low‐grade, localized tumors with a more favorable prognosis than in adults, necessitating avoidance of overtreatment, adenocarcinomas of the lung are often diagnosed at advanced disease ...
Michael Abele +19 more
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Pediatric Blood &Cancer, EarlyView.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
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Monotone extensions of mappings and their applications [PDF]
Pacific Journal of Mathematics, 1983 This paper deals with one of the following general problems. Let P denote a property of mappings which is not necessarily hereditary with respect to the restrictions of mappings. In particular, P may be the property of being a closed mapping, or an open mapping, or a monotone mapping, or a compact mapping, or a quotient mapping, or a perfect mapping ...
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