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On Calculation of the Norm of a Monotone Operator in Ideal Spaces

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Abstract

This paper contains the proof of general results on the calculation of the norms of monotone operators acting from one ideal space to another under matching convexity and concavity properties of the operator and the norms in ideal spaces.

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Authors and Affiliations

  1. RUDN University, Moscow, Russia

    E. G. Bakhtigareeva & M. L. Goldman

Authors
  1. E. G. Bakhtigareeva
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  2. M. L. Goldman
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Correspondence to E. G. Bakhtigareeva.

Additional information

Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 67, No. 3, In honor of the 70th anniversary of Professor V. M. Filippov, 2021.

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Bakhtigareeva, E.G., Goldman, M.L. On Calculation of the Norm of a Monotone Operator in Ideal Spaces. J Math Sci 278, 237–253 (2024). https://doi.org/10.1007/s10958-024-06917-4

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  • DOI: https://doi.org/10.1007/s10958-024-06917-4

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