TOWARDS THE THEORY OF L-BORNOLOGICAL SPACES

Authors

  • aleksandrs ˇSostaks 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
  • mati Abel Institute of Pure Mathematics, University of Tartu, J.Liivi street 2, EE-50409 Tartu, Estonia
Abstract:

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

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Journal title

volume 8  issue 1

pages  19- 28

publication date 2011-02-11

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