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 ...

AbstractLet M C =( A C 0 B )∈B(χ⊕χ) be an upper triangulat Banach space operator. The relationship between the spectra of 𝑀𝐶 and 𝑀₀, and their various distinguished parts, has been studied by a ...

This paper studies the question of the resolvent existence, as well as, the smoothness of elements from the definition domain (separability) of a class of hyperbolic differential operators defined in ...