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Theory of operator means

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Abstract

New properties of operator connections and means are established. Specifically, representations of an arbitrary connection by means of a concave representing function, an estimate of the norm of a connection in a von Neumann-Schatten ideal, a relation between operator means and convolutions onto operator domains are obtained.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 723–730, June, 1990.

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Arlinskii, Y.M. Theory of operator means. Ukr Math J 42, 639–645 (1990). https://doi.org/10.1007/BF01058906

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Keywords

  • Operator Domain
  • Operator Means
  • Operator Connection
  • Arbitrary Connection