Injective composition operators on Lorentz–Bochner spaces
Abstract: In this paper, we extend the notion of essential range to vector-valued functions and present various equivalent conditions for the injectiveness of the composition operators alongwith a characterisation for measurable transformations inducing composition operators between Lorentz–Bochner spaces. Some aspects of the weighted composition operators on Lorentz–Bochner spaces, induced by a measurable transformation and an operator valued map, are also discussed.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Injective composition operators on Lorentz–Bochner spaces ; volume:46 ; number:4 ; year:2013 ; pages:741-756 ; extent:16
Demonstratio mathematica ; 46, Heft 4 (2013), 741-756 (gesamt 16)
- Creator
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Datt, Gopal
Arora, S. C.
- DOI
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10.1515/dema-2013-0488
- URN
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urn:nbn:de:101:1-2411181443037.707365966465
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:24 AM CEST
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Associated
- Datt, Gopal
- Arora, S. C.
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