Linear operators $T$ for which $T^\ast T$ and $TT^\ast$ commute are studied. Examples are given to show that this class of operators is distinct from several other ...

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 ...

In the present paper we study the compositions of the piecewise linear interpolation operator S Δ n and the Beta-type operator B ¯ n , namely A n := S Δ n ∘ B ¯ n and G n := B ¯ n ∘ S Δ n .