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• W2955292368 endingPage "415" @default.
• W2955292368 startingPage "375" @default.
• W2955292368 abstract "We study  spaces of continuous-function-valued functions that have the property that composition with evaluation functionals induce weak$^{^*}$ to norm continuous maps to $l^p $ space $ (pin (1, infty))$. Versions of Holder's inequality and Riesz representation theorem are proved to hold on these spaces. We prove a version of Dixmier's theorem for spaces of function-valued matrix operators on these spaces, and an analogue of the trace formula for operators on Hilbert spaces. When the function space is taken to be the complex field, the spaces are just the $l^p$ spaces and the  well-known classical theorems follow from our results." @default.
• W2955292368 created "2019-07-12" @default.
• W2955292368 creator A5055057282 @default.
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• W2955292368 date "2019-06-30" @default.
• W2955292368 modified "2023-09-24" @default.
• W2955292368 title "Matrix operators on function-valued function spaces" @default.
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• W2955292368 doi "https://doi.org/10.11568/kjm.2019.27.2.375" @default.
• W2955292368 hasPublicationYear "2019" @default.
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