Mathematics of Computation, Vol. 25, No. 115 (Jul., 1971), pp. 413-424 (12 pages) The weak sequential compactness of reflexive Banach spaces is used to explain the fact that certain ill-posed, linear ...

Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...

Let $f\colon {\Bbb R}_{+}\rightarrow X$ be a bounded, strongly measurable function with values in a Banach space X, and let iE be the singular set of the Laplace ...

Infinite-dimensional systems, characterised by state spaces of infinite dimension such as those described by partial differential equations, present profound challenges and opportunities within ...