A classic math rule now handles infinity. New work strengthens the math behind physics and unbounded systems. % ...

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 ...

Abstract. In this paper, we consider three classes of bounded linear operators on a topological vector space with respect to three different topologies which are introduced by Troitsky. We obtain some ...