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 ...

Conditions for boundedness and compactness of product-convolution operators $g \rightarrow P_hC_fg = h \cdot (f \ast g)$ on spaces $L_p(G)$ are studied. It is ...

In this note we give a new criterion guaranteeing the uniqueness of a minimal norm representative of a bounded linear operator which commutes with a finite multiplicity shift. We moreover give ...