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http://hdl.handle.net/11455/17331
Mon, 21 Jun 2021 03:36:30 GMT2021-06-21T03:36:30ZPartial group actions and partial Galois extensions
http://hdl.handle.net/11455/99131
標題: Partial group actions and partial Galois extensions
作者: Jung-Miao Kuo; George Szeto
摘要: Let α be a partial action of a group G on a ring S which has an enveloping action. Suppose that (S,α) is a partial Galois extension. We study partial Galois extensions inside (S,α) . In particular, we derive some results on partial orbits and partial stabilizers and apply them to associate to each subgroup K of G certain partial Galois extensions inside (S,α) with partial actions of α restricted to K.http://hdl.handle.net/11455/99131On Partial Galois Algebras
http://hdl.handle.net/11455/99130
標題: On Partial Galois Algebras
作者: Xiaolong Jiang; Jung-Miao Kuo; George Szeto
摘要: We generalize, in the context of partial group action, the Kanzaki commutator theorem for Galois extensions and the structure theorem for Galois algebras given by Szeto and Xue.http://hdl.handle.net/11455/99130Surjective isometries on vector-valued differentiable function spaces
http://hdl.handle.net/11455/99129
標題: Surjective isometries on vector-valued differentiable function spaces
作者: Lei Li; Dongyang Chen; Qing Meng; Ya-Shu Wang
摘要: In this article, we investigate the surjective linear isometries between the differentiable function spaces Cp0(X,E) and Cq0(Y,F), where X, Y are open subsets of R and E, F are strictly convex Banach spaces with dimension greater than 1. We show that such isometries can be written as weighted composition operators.http://hdl.handle.net/11455/99129Isometries on differentiable lipschitz functions
http://hdl.handle.net/11455/99128
標題: Isometries on differentiable lipschitz functions
作者: Ya-Shu Wang
摘要: We give a characterization of surjective isometries on spaces of real-valued differentiable Lipschitz functions on [0,1]. We also show that every compact composition operator in the space of real-valued differentiable Lipschitz functions on [0,1] must be of rank one.http://hdl.handle.net/11455/99128