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Quasi-contractivity, stability and convergence of WCT operators
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Abstract
In this paper, we characterize quasi-contractive, stable and convergent weighted conditional-type (WCT) operators on
L
p
(
μ
)
{L^{p}(\mu)}
. Indeed we provide equivalent conditions for quasi-contraction WCT operators. Also, we prove that convergence, uniform stability, strong stability and weak stability of WCT operators are equivalent. Finally, we provide some concrete examples to illustrate our main results.
Walter de Gruyter GmbH
Title: Quasi-contractivity, stability and convergence of WCT operators
Description:
Abstract
In this paper, we characterize quasi-contractive, stable and convergent weighted conditional-type (WCT) operators on
L
p
(
μ
)
{L^{p}(\mu)}
.
Indeed we provide equivalent conditions for quasi-contraction WCT operators.
Also, we prove that convergence, uniform stability, strong stability and weak stability of WCT operators are equivalent.
Finally, we provide some concrete examples to illustrate our main results.
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