Banach spaces, as complete normed vector spaces, provide a fundamental setting in modern analysis, allowing for a rigorous treatment of convergence and stability in infinite dimensions. Integrability ...

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N. E. Gretsky and J. J. Uhl, Jr. Representations of bounded linear operators on Banach function spaces of vector-valued functions to Banach spaces are given in terms of operator-valued measures. Then ...

This is a preview. Log in through your library . Abstract With respect to a partial ordering $\ll$, the functional inequality $F(s) + tG(s) \ll F(s + t)$ arises ...