Compact and weakly compact weighted composition operators on weighted spaces of continuous functions

Manhas, Jasbir Singh; Singh, Raj

doi:10.1007/bf01191480

Cited by 4 publications

(2 citation statements)

References 6 publications

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“…Multiplication operators on weighted spaces of (vector valued) continuous functions have been investigated by Manhas [13], [14], Singh and Manhas [15], [19], [21], Oubbi [17], [18] and Klilou and Oubbi [9] among others. See also the book by Singh and Manhas [20].…”

Section: Introduction Notation and Motivationmentioning

confidence: 99%

Mean Ergodic Multiplication Operators on Weighted Spaces of Continuous Functions

2018

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Multiplication operators on weighted Banach spaces and locally convex spaces of continuous functions have been thoroughly studied. In this note we characterize when continuous multiplication operators on a weighted Banach space and on a weighted inductive limit of Banach spaces of continuous functions are power bounded, mean ergodic or uniformly mean ergodic. The behaviour of the operator on weighted inductive limits depends on the properties of the defining sequence of weights and it differs from the Banach space case.2010 Mathematics Subject Classification. Primary: 47B38; 46E10; 46E15 Key words and phrases. Banach spaces of continuous functions, weighted inductive limits, multiplication operator, mean ergodic operator.

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Section: Introduction Notation and Motivationmentioning

confidence: 99%

Mean Ergodic Multiplication Operators on Weighted Spaces of Continuous Functions

2018

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“…Multiplication operators on weighted spaces of (vector valued) continuous functions have been investigated by Manhas [59], [60], Singh and Manhas [61], [77], [79], Oubbi [67], [68] and Klilou and Oubbi [50] among others. See also the book by Singh and Manhas [78].…”

Section: Introductionmentioning

confidence: 99%

Ergodic properties of operators on spaces of functions

Arenas¹

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Por supuesto, esta tesis no habría sido posible sin Pepe y sin Enrique. Durante el máster, Pepe, me metiste en este tema, o según tus palabras, "me sacaste de la ignorancia." Después, Enrique, me descubriste lo que era investigar. Los dos habéis tenido más confianza en mí de la que yo tengo. Gracias por todo. The stays in Trier provided my best mathematical experiences (so far) although also the worst coffee. I'm thankful to everybody there, but specially Jochen and Leonhard. You've always been helpful and patient, thank you. La primera vez que fui al IUMPA me perdí y al llegar seguía perdido. Poco a poco se convirtió en el sitio más cómodo para trabajar. Claro, no por el sitio, sino por la compañía. Ha pasado mucha gente y todos estaban ahí para echar una mano. Os mando gracias, que espero que salten el Muro. Gracias a mis compañeros, con los que he compartido el día a día, tantas comidas y cenas olvidando la tesis y contando historias. Muchas amistades han ido y venido, pero el spam siempre ha estado ahí, para todo, dando las mayores alegrías. Así que, gracias al spam. Y, como no, mis padres. Por estar presentes a pesar de la distancia, por las llamadas en el peor momento y por no dejarme tranquilo. Gracias.

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Weighted composition operators on nonlocally convex weighted spaces of continuous functions

Manhas

Singh

1998

Anal Math

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Compact and weakly compact weighted composition operators on weighted spaces of continuous functions

Cited by 4 publications

References 6 publications

Mean Ergodic Multiplication Operators on Weighted Spaces of Continuous Functions

Mean Ergodic Multiplication Operators on Weighted Spaces of Continuous Functions

Ergodic properties of operators on spaces of functions

Weighted composition operators on nonlocally convex weighted spaces of continuous functions

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