Onp-Convergence in Measure of a Sequence of Measurable Functions | Zendy

Antonio Boccuto | Zendy; Ch. Papachristodoulos | Zendy; N. Papanastassiou | Zendy

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Onp-Convergence in Measure of a Sequence of Measurable Functions

Author(s) -

Antonio Boccuto,

Ch. Papachristodoulos,

N. Papanastassiou

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/582576

Subject(s) - mathematics , measure (data warehouse) , convergence (economics) , sequence (biology) , exact sequence , combinatorics , data mining , computer science , chemistry , economics , economic growth , biochemistry

In the study by Papanastassiou and Papachristodoulos, 2009 the notion of p-convergence in measure was introduced. In a natural way p-convergence in measure induces an equivalence relationon the space M of all sequences of measurable functions converging inmeasure to zero. We show that the quotient space ℳ is a complete butnot compact metric space

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