TOWARDS THE THEORY OF L-BORNOLOGICAL SPACES

Abel, Mati; ˇSostaks, Aleksandrs

doi:10.22111/ijfs.2011.233

Document Type : Research Paper

Authors

mati Abel ¹
aleksandrs ˇSostaks ²

¹ Institute of Pure Mathematics, University of Tartu, J.Liivi street 2, EE-50409 Tartu, Estonia

² Department of Mathematics, University of Latvia, Zellu street 8, LV-1002, Riga, Latvia and Institute of Mathematics and CS, University of Latvia, Raina bulv. 29, LV-1586, Riga, Latvia

https://doi.org/10.22111/ijfs.2011.233

Abstract

The concept of an $L$-bornology is introduced and the theory of $L$-bornological spaces
is being developed. In particular the lattice of all $L$-bornologies on a given set is studied and basic properties of
the category of $L$-bornological spaces and bounded mappings are investigated.

Keywords

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TOWARDS THE THEORY OF L-BORNOLOGICAL SPACES

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Volume 8, Issue 1 - Serial Number 1January and February 2011Pages 19-28

Volume 8, Issue 1 - Serial Number 1
January and February 2011
Pages 19-28