島根大学総合理工学部紀要.シリーズB

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島根大学総合理工学部紀要.シリーズB 31
1998-03 発行

Extremum Problems on a Hilbert Network

山﨑 稀嗣
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内容記述(抄録等)
As a generalization of a usual infinite network, a Hilbert network is defined as a pair of a graph and a resistance taking values in a Hilbert space. With the sets of nodes and arcs of the graph, we associate variables belonging to a Hilbert space. In this situation, we study several extremum problems related to Hilbert-valued functions on the set of nodes or arcs of the graph and their inverse relations.