Viewing *-multiplication operators between Orlicz spaces
Copyright policy )Viewing *-multiplication operators between Orlicz spaces
In this paper, Lambert multipliers acting between Orlicz spaces are characterized based on some properties of conditional expectation operators. We provide a necessary and sufficient condition for the *-multiplication operators to have closed range. Finally, a necessary condition for Fredholmness of these type of operators will be investigated.
- Payame Noor University Iran (Islamic Republic of)
\(\ast\)-multiplication operator, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), Fredholm operator, closed range operator, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA), Mathematics - Functional Analysis, conditional expectation operator, Linear operators on function spaces (general), FOS: Mathematics, Lambert multiplier, (Semi-) Fredholm operators; index theories
\(\ast\)-multiplication operator, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), Fredholm operator, closed range operator, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA), Mathematics - Functional Analysis, conditional expectation operator, Linear operators on function spaces (general), FOS: Mathematics, Lambert multiplier, (Semi-) Fredholm operators; index theories
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