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Compact operators defined on 2-normed and 2-probabilistic normed spaces. (English) Zbl 1203.47096
From the Introduction: In this paper, we first investigate compact operators between 2-normed spaces. Then, according to Menger’s probabilistic approach, we discuss 2-probabilistic normed spaces and extend the main ideas from the first section to operators defined between 2-probabilistic normed spaces.
47S50 Operator theory in probabilistic metric linear spaces
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