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2005 STRONG CONVERGENCE THEOREMS FOR COMMUTATIVE SEMIGROUPS OF CONTINUOUS LINEAR OPERATORS ON BANACH SPACES
Kazutaka Eshita, Wataru Takahashi
Taiwanese J. Math. 9(4): 531-550 (2005). DOI: 10.11650/twjm/1500407882

Abstract

We first prove a strong convergence theorem of Mann’s type for a commutative family of continuous linear operators in a Banach space by using strongly regular sequences of means on commutative semigroups. Using this, we obtain various strong convergence theorems for continuous linear operators in a Banach space.

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Kazutaka Eshita. Wataru Takahashi. "STRONG CONVERGENCE THEOREMS FOR COMMUTATIVE SEMIGROUPS OF CONTINUOUS LINEAR OPERATORS ON BANACH SPACES." Taiwanese J. Math. 9 (4) 531 - 550, 2005. https://doi.org/10.11650/twjm/1500407882

Information

Published: 2005
First available in Project Euclid: 18 July 2017

zbMATH: 1112.47006
MathSciNet: MR2185401
Digital Object Identifier: 10.11650/twjm/1500407882

Subjects:
Primary: ‎43A07‎ , 47A35 , 47D03

Keywords: Banach space , commutative semigroup , continuous linear operator , ergodic theorem , iterative process , ‎mean‎ , strongly regular sequence

Rights: Copyright © 2005 The Mathematical Society of the Republic of China

Vol.9 • No. 4 • 2005
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