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Pointwise versus equal (quasi-normal) convergence via ideals

Authors
Journal
Journal of Mathematical Analysis and Applications
0022-247X
Publisher
Elsevier
Identifiers
DOI: 10.1016/j.jmaa.2014.09.004
Keywords
  • Real Analysis

Abstract

Abstract We prove a characterization showing when the ideal pointwise convergence does not imply the ideal equal (aka quasi-normal) convergence. The characterization is expressed in terms of a cardinal coefficient related to the bounding number b. We also prove a characterization showing when the ideal equal limit is unique.

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