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 ...

Let (X, d) be a complete metric space. We prove that there is a continuous, linear extension operator from the space of all partial, continuous, bounded metrics with closed, bounded domains in X ...

Let X be a Banach space, J = [0, a], Δ = {(t, s) : 0 ≤ s ≤ t ≤ a} and consider the initial-value problem for the linear integrodifferential equation $\mathrm{u ...

A linear depth quantum circuit that implements general duality transformations in one dimensional quantum lattice models. Credit: Physical Review Letters (2025). DOI: 10.1103/PhysRevLett.134.130403 In ...