Unbounded asymptotic equivalences of operator nets with applications

Date

2019-09-01

Author

ERKURŞUN ÖZCAN, NAZİFE
Gezer, Niyazi Anıl

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Present paper deals with applications of asymptotic equivalence relations on operator nets. These relations are defined via unbounded convergences on vector lattices. Given two convergences c and delta on a vector lattice, we study delta-asymptotic properties of operator nets formed by c-continuous operators. Asymptotic equivalences are known to be useful and extremely important tools to study infinite behaviors of strongly convergent operator nets and continuous semigroups. After giving a general theory, paper focuses on delta- martingale and delta-Lotz-Rabiger nets.

Subject Keywords

Theoretical Computer Science, Analysis, General Mathematics

URI

https://hdl.handle.net/11511/51540

Journal

POSITIVITY

DOI

https://doi.org/10.1007/s11117-018-0640-z

Collections

Department of Mathematics, Article

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Citation Formats

N. ERKURŞUN ÖZCAN and N. A. Gezer, “Unbounded asymptotic equivalences of operator nets with applications,” POSITIVITY, pp. 829–851, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51540.