On kb-operators on banach lattices

Gok Omer

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2024-05-06 16:21

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GOK, Omer. On kb-operators on banach lattices. In: Mathematics and Information Technologies: Research and Education, Ed. 2023, 26-29 iunie 2023, Chişinău. Chişinău: 2023, p. 42. ISBN 978-9975-62-535-7.

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Mathematics and Information Technologies: Research and Education 2023

Conferința "Mathematics and Information Technologies: Research and Education"
2023, Chişinău, Moldova, 26-29 iunie 2023

On kb-operators on banach lattices

Pag. 42-42

Gok Omer

Yildiz Technical University

Disponibil în IBN: 25 aprilie 2024

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A complete normed lattice is called a Banach lattice. An operator T : E ! X from a Banach lattice E into a Banach space X is called a KB-operator if for every positive increasing sequence (xn) in the closed unit ball of E, (Txn) converges in X. An operator T : E ! E on a Banach lattice E is called unbounded demi KB-operator if for every positive increasing sequence (xn) in the closed unit ball of E such that (xn - Txn) is unbounded norm convergent to x 2 E , there is an unbounded norm convergent subsequence of (xn). In this presentation, we study the unbounded demi KB-operators on a Banach lattice.

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