Multiplication operators in Orlicz space. (Chinese. English summary) Zbl 1110.47302
The paper characterizes the pointwise multipliers of Orlicz spaces as the bounded functions. It also calculates the spectrum for such multiplication operators and shows that such an operator is isometric if and only if the multiplier has modulus 1 almost everywhere.
Reviewer: Kehe Zhu (Albany)
MSC:
47B35 | Toeplitz operators, Hankel operators, Wiener-Hopf operators |