Bochner representable operators on Banach function spaces
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DOI: 10.1007/s11117-018-0576-3
Abstract: Let $$(E,\Vert \cdot \Vert _E)$$(E,‖·‖E) be a Banach function space, $$E'$$E′ the Köthe dual of E and $$(X,\Vert \cdot \Vert _X)$$(X,‖·‖X) be a Banach space. It is shown that every Bochner representable operator $$T:E\rightarrow X$$T:E→X… read more here.
Keywords: cdot vert; bochner representable; vert; vert cdot ... See more keywords
GEOMETRIC AND FIXED POINT PROPERTIES IN PRODUCTS OF NORMED SPACES
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DOI: 10.1017/s0004972718001144
Abstract: Given two (real) normed (linear) spaces $X$ and $Y$ , let $X\otimes _{1}Y=(X\otimes Y,\Vert \cdot \Vert )$ , where $\Vert (x,y)\Vert =\Vert x\Vert +\Vert y\Vert$ . It is known that $X\otimes _{1}Y$ is $2$ -UR… read more here.
Keywords: fixed point; vert; vert vert; vert cdot ... See more keywords