Title of article :
ϕ(L)-Factorable Operators on LP(G) for a Locally Compact Abelian Group
Author/Authors :
Roohi Afrapoli ، Fatemeh Department of Mathematics - Faculty of Science - Ferdowsi University of Mashhad , Kamyabi Gol ، Rajab Ali Department of Mathematics - Center of Excellence in Analysis on Algebraic Structures (CEAAS) - Ferdowsi University of Mashhad , Esmaeelzadeh ، Fatemeh Department of Mathematics - Islamic Azad University, Bojnourd Branch
Abstract :
Let G be a locally compact abelian group, φ be a topological isomorphism on G, and L be a uniform lattice in G. We provide a development of the L1(G/φ(L)) function-valued product on L p(G) called (φ(L), p)-bracket product, where 1 p ∞. Among other things, we study φ(L)-factorable operators and we prove Riesz representation type theorem for L p(G).
Keywords :
(φ(L) , p) , bracket product , Locally compact abelian group , φ(L) , orthogonality , φ(L) , factorable operator , Riesz representation theorem
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
