TY - JOUR
ID - 2898
TI - RELATIONS BETWEEN TWO CLASSES OF FUNCTIONS
JO - Journal of Mahani Mathematical Research
JA - JMMR
LA - en
SN - 2251-7952
AU - Fathi Mourjani, Javad
AD - Department of Mathematics, University of hormozgan, Bandarabbas, Iran
Y1 - 2021
PY - 2021
VL - 10
IS - 1
SP - 103
EP - 110
KW - Banach space
KW - Complemented subspace
KW - Generalized bounded variation
DO - 10.22103/jmmrc.2021.14614.1100
N2 - Let F denote a specific space of the class of was costructed by H. Khodabakhshian as a classes of separable Banach function spaces analogous to the james function spaces. In this notes we prove that l_p(α) is isomorphic to a complemented subspace of F_{α,p} and for p = 2, F_{α,p} is a closed subspace of the Waterman-Shiba space αBV^ (p) Assume F denotes a specific space of the class of F_{α,p} that was costructed by H. Khodabakhshian[2] as a classes of separable Banach function spaces analogous to the James function spaces. In this notes we prove that l_p(α) is isomorphic to a complemented subspace of F_{α,p} and for p = 2, F_{α,p} is a closed subspace of Waterman-Shiba space αBV^(p).
UR - https://jmmrc.uk.ac.ir/article_2898.html
L1 - https://jmmrc.uk.ac.ir/article_2898_15b1dc06ab3b9894b5907d89048d7188.pdf
ER -