منابع مشابه
On global (strong) defensive alliances in some product graphs
A defensive alliance in a graph is a set $S$ of vertices with the property that every vertex in $S$ has at most one moreneighbor outside of $S$ than it has inside of $S$. A defensive alliance $S$ is called global if it forms a dominating set. The global defensive alliance number of a graph $G$ is the minimum cardinality of a global defensive alliance in $G$. In this article we study the global ...
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Assuming that this is false, one can choose a subsequence, denoted by u j again, such that ‖u j‖ > j . Let z j := u j/‖u j‖. Then ‖z j‖ = 1, z j is orthogonal to N (I + T ), and z j + T z j = f j/‖u j‖ → 0. As before, it follows that z j → z in H , and passing to the limit in the equation for z j one gets z + T z = 0. Since z is orthogonal to N (I + T ), it follows that z = 0. This is a contrad...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2014
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2014-12255-6