Function spaces and operator theory form a rich and interconnected subdiscipline of modern analysis, embracing a variety of spaces that measure function regularity and oscillatory behaviour alongside ...

Function spaces underpin the analysis of partial differential equations and operator theory. Over recent decades, the classical Sobolev spaces have been generalised into broader frameworks, including ...

We construct infinite-dimensional Banach spaces and infinitely generated Banach algebras of functions that, except for 0, satisfy some kind of special or pathological property. Three of these ...

This is a preview. Log in through your library . Abstract This paper concerns the isometric theory of the Lebesgue-Bochner function space $L^p (\mu, X)$ where $1 < p ...