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- W157036382 abstract "This chapter discusses multipliers and isometries of orlicz spaces. It presents Φ a strictly increasing continuous subadditive function defined on [0, ∞) and satisfying Φ ( x ) = 0 if x = 0. Such a function is called a modulus function. The chapter defines an Orlicz space L Φ . A multiplier of L Φ is a measurable function g on X which satisfies f . g ∈ L Φ for all f ∈ L Φ . The chapter discusses the characterization of M ( L Φ ) for a class of modulus functions. It also finds the isometries of L Φ and shows that m g is an isometry on L Φ , if and only if | g ( x )| = 1, that is, an X ." @default.
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- W157036382 date "1988-01-01" @default.
- W157036382 modified "2023-09-27" @default.
- W157036382 title "MULTIPLIERS AND ISOMETRIES OF ORLICZ SPACES" @default.
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- W157036382 doi "https://doi.org/10.1016/b978-0-08-031636-9.50020-6" @default.
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