On Calculation of the Norm of a Monotone Operator in Ideal Spaces
- Autores: Bakhtigareeva E.G.1, Goldman M.L.1
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Afiliações:
- Peoples’ Friendship University of Russia (RUDN University)
- Edição: Volume 67, Nº 3 (2021): Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov
- Páginas: 455-471
- Seção: Articles
- URL: https://journals.rcsi.science/2413-3639/article/view/327725
- DOI: https://doi.org/10.22363/2413-3639-2021-67-3-455-471
- ID: 327725
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Texto integral
Resumo
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.
Sobre autores
E. Bakhtigareeva
Peoples’ Friendship University of Russia (RUDN University)
Autor responsável pela correspondência
Email: bakhtigareeva-eg@rudn.ru
Moscow, Russia
M. Goldman
Peoples’ Friendship University of Russia (RUDN University)
Email: seulydia@yandex.ru
Moscow, Russia
Bibliografia
- Канторович Л. В., Акилов Г. П. Функциональный анализ. - М.: Наука, 1984.
- Крейн С. Г., Петунин Ю. И., Семенов Е. М. Интерполяция линейных операторов. - М.: Наука, 1978.
- Трибель Х. Теория интерполяции. Функциональные пространства. Дифференциальные операторы. - М.: Мир, 1980.
- Bakhtigareeva E. G., Goldman M. L. Construction of an optimal envelope for a cone of nonnegative functions with monotonicity properties// Proc. Steklov Inst. Math. - 2016. - 293. - С. 37-55.
- Bakhtigareeva E. G., Goldman M. L. Calculation of the norms for monotone operators on the cones of functions with monotonicity properties// Lobachevskii J. Math. - 2021. - 42, № 5. - С. 857-874.
- Bennett C., Sharpley R. Interpolation of operators. - Boston: Acad. Press, 1988.
- Berg J., Lo¨fstro¨m J. Interpolation spaces. An Introduction. - Berlin: Springer, 1976.
- Burenkov V. I., Goldman M. L. Calculation of the norm of a positive operator on the cone of monotone functions// Proc. Steklov Inst. Math. - 1995. - 210.- С. 47-65.
- Gogatishvili A., Stepanov V. D. Reduction theorems for weighted integral inequalities on the cone of monotone functions// J. Math. Anal. Appl. - 2013. - 68, № 4. - С. 597-664.
- Gogatishvili A., Stepanov V. D. Reduction theorems for operators on the cone of monotone functions// Russ. Math. Surv. - 2013. - 405, № 1. - С. 156-172.
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