Distance of convergence in measure on spaces of measurable functions

ÜNVER, MEHMET; SAĞIROĞLU PEKER, SEVDA

doi:10.1007/s11117-018-0621-2

Distance of convergence in measure on spaces of measurable functions

ÜNVER M., SAĞIROĞLU PEKER S.

POSITIVITY, cilt.23, sa.3, ss.507-521, 2019 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 23 Sayı: 3
Basım Tarihi: 2019
Doi Numarası: 10.1007/s11117-018-0621-2
Dergi Adı: POSITIVITY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.507-521
Anahtar Kelimeler: Distance, Gauge, Limit operator, Spaces of measurable functions, Convergence in measure, 28A20, 54A05, 54A20
Ankara Üniversitesi Adresli: Evet

Özet

In this paper we investigate the distance of convergence in measure whenever the measure is not sigma-finite and identify the topological coreflection of this approach structure with a direct proof. Also we investigate its connections with metric approach structures on spaces of measurable functions and obtain some results for integrability of measurable functions in this setting.