Superposition Operators on
Bulletin of the Malaysian Mathematical Society, Tome 27 (2004) no. 1
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For any linear operator on a Banach space, the continuity and boundedness are equivalent. It fails for a nonlinear operator, in particular, for a superposition operator. In this paper, we present sufficient and necessary conditions in terms of an inequality for the continuity of a superposition operator on the function space .
Classification :
47B38
@article{BMMS_2004_27_1_a4,
author = {Supama and Soeparna Darmawijaya},
title = {Superposition {Operators} on},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2004},
volume = {27},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2004_27_1_a4/}
}
Supama; Soeparna Darmawijaya. Superposition Operators on. Bulletin of the Malaysian Mathematical Society, Tome 27 (2004) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2004_27_1_a4/