منابع مشابه
Fall 2007 Qual , Part I : 1 ,
I.1 Two short problems: 1. Suppose that (X,A, μ) is a measure space, and X = ∪j=1Xj with Xj ⊂ Xj+1 for all j. Let χj be the indicator (characteristic) function of Xj, and let Mj denote the multiplication operator by χj acting on Z = Lp(X, dμ), 1 ≤ p < ∞. Show that Mj → I, the identity operator, in the strong operator topology, i.e. the weakest topology on bounded linear operators L(Z) in which ...
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In the title mol-ecule, C(9)H(11)N(3)O(2)S, an intra-molecular O-H⋯N hydrogen bond generates an S(6) ring motif. In the crystal, mol-ecules are linked via pairs of N-H⋯S inter-actions, forming inversion dimers with R(2) (2)(8) ring motifs. These dimers are further linked via N-H⋯S and N-H⋯O hydrogen bonds, forming a two-dimensional network lying parallel to (100). The crystal structure is furth...
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The asymmetric unit of the title compound, C(11)H(11)NO(3), contains two crystallographically independent mol-ecules. The aromatic rings are oriented at a dihedral angle of 56.17 (5)°. The furan rings adopt envelope conformations. Intra-molecular C-H⋯N inter-actions results in the formation of two six-membered rings with twisted conformations. In the crystal structure, three weak C-H⋯π inter-ac...
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ژورنال
عنوان ژورنال: Magma
سال: 2015
ISSN: 2448-1769,0104-6330
DOI: 10.11606/issn.2448-1769.mag.2015.108477