Lambert Multipliers Between $L^P$-spaces as a Banach Algebra
  For 1 â¤ p < â, it is known that the set K^*_p contains of all Lambert multipliers acting between L^p-spaces is a Banach space. In this study, we introduce a new induced norm by conditional expectation operators to show that K^*_p is a commutative Banach algebra with respect to this norm. Furthermore, in main result, the Fredholm *-multiplication operators on L^p-spaces are characterized, and some more results are obtained. 
Jahangir Cheshmavar and Seyed Kamel Hosseini
math.FA