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 ...

Suppose H is a complex Hilbert space and T ∈ L(H) is a bounded operator. For each closed set F $\subset$ C let HT(F) denote the corresponding spectral manifold. Let σloc(T) denote the set of all ...

The adjoint of a well-bounded operator is also well-bounded, but in general the hoped for natural relationship between the corresponding decompositions of the identity do not hold if the underlying ...