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Uniformly Bounded Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz

Uniformly Bounded Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz
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摘要 We show that the lateral regularizations of the generator of any uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the sense of Riesz, with nonempty bounded closed and convex values, are an affine function. We show that the lateral regularizations of the generator of any uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the sense of Riesz, with nonempty bounded closed and convex values, are an affine function.
出处 《International Journal of Modern Nonlinear Theory and Application》 2015年第4期226-233,共8页 现代非线性理论与应用(英文)
关键词 j-Variation in the SENSE of RIESZ SET-VALUED Functions Left and Right Regularizations UNIFORMLY BOUNDED OPERATOR Composition (Nemytskij) OPERATOR Jensen Equation j-Variation in the Sense of Riesz Set-Valued Functions Left and Right Regularizations Uniformly Bounded Operator Composition (Nemytskij) Operator Jensen Equation
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