AM-Totally Boundedness on Normed Riesz Spaces

H. Baklouti; M. Hajji; R. Moulahi

doi:10.1007/s10476-021-0099-1

AM-Totally Boundedness on Normed Riesz Spaces

H. Baklouti, M. Hajji, R. Moulahi

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we introduce and study the class of AM-totally bounded operators. Also we introduce the notion of graph lattice norm to prove a domination result for this class of operators. In particular, we extend the main theorem of Aqzzouz et al. [8]. Further, we give new results concerning the power domination problem by a totally bounded operator.

Original language	English
Pages (from-to)	493-506
Number of pages	14
Journal	Analysis Mathematica
Volume	47
Issue number	3
DOIs	https://doi.org/10.1007/s10476-021-0099-1
Publication status	Published - Sept 2021
Externally published	Yes

Keywords

AM-compact operator
Banach lattice
order continuous norm

ASJC Scopus subject areas

Analysis
Mathematics(all)

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10.1007/s10476-021-0099-1

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title = "AM-Totally Boundedness on Normed Riesz Spaces",

abstract = "In this paper we introduce and study the class of AM-totally bounded operators. Also we introduce the notion of graph lattice norm to prove a domination result for this class of operators. In particular, we extend the main theorem of Aqzzouz et al. [8]. Further, we give new results concerning the power domination problem by a totally bounded operator.",

keywords = "AM-compact operator, Banach lattice, order continuous norm",

author = "H. Baklouti and M. Hajji and R. Moulahi",

note = "Funding Information: The authors would like to express their cordial gratitude to the referee for valuable suggestions. Publisher Copyright: {\textcopyright} 2021, Akad{\'e}miai Kiad{\'o}, Budapest.",

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AU - Hajji, M.

AU - Moulahi, R.

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AB - In this paper we introduce and study the class of AM-totally bounded operators. Also we introduce the notion of graph lattice norm to prove a domination result for this class of operators. In particular, we extend the main theorem of Aqzzouz et al. [8]. Further, we give new results concerning the power domination problem by a totally bounded operator.

KW - AM-compact operator

KW - Banach lattice

KW - order continuous norm

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AM-Totally Boundedness on Normed Riesz Spaces

Abstract

Keywords

ASJC Scopus subject areas

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