On p-Convergence in Measure of a Sequence of Measurable Functions

Joint Authors

Papachristodoulos, Ch.
Papanastassiou, N.
Boccuto, A.

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-06-01

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

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 relation on the space M of all sequences of measurable functions converging in measure to zero.

We show that the quotient space ℳ is a complete but not compact metric space.

American Psychological Association (APA)

Boccuto, A.& Papachristodoulos, Ch.& Papanastassiou, N.. 2011. On p-Convergence in Measure of a Sequence of Measurable Functions. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-7.
https://search.emarefa.net/detail/BIM-482601

Modern Language Association (MLA)

Boccuto, A.…[et al.]. On p-Convergence in Measure of a Sequence of Measurable Functions. Abstract and Applied Analysis No. 2011 (2011), pp.1-7.
https://search.emarefa.net/detail/BIM-482601

American Medical Association (AMA)

Boccuto, A.& Papachristodoulos, Ch.& Papanastassiou, N.. On p-Convergence in Measure of a Sequence of Measurable Functions. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-7.
https://search.emarefa.net/detail/BIM-482601

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-482601