منابع مشابه
Some forms of the closed graph theorem
In this paper we shall establish some forms of the closed, graph theorem for locally convex spaces, using the approach of Ptak(l7). Our interest is in classifying pairs of locally convex spaces (E, F) which have the property that every closed graph linear mapping T: E -> F is continuous; if (E,F) has this property then we shall say that (E, F) is in the class *&. \is# is a particular class of l...
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In thiq paper we prove the following: let G be a graph with k edges, wihich js (k l)-edgeconnectd, and with all valences 3k k. Let 1 c r~ k be an integer, then (3 -tins a spanning subgraph H, so that all valences in H are ar, with no more than r~/r:] edges. The proof is based on a useful extension of Tutte’s factor theorem [4,5], due to JN&Z [3]. For other extensions of Petersen’s theorem, see ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1975
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1975-0380339-9