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 ...

In [2] Seong Sik Kim, Yed Je Cho, Albert White consider the properties of 2–bounded operators from a norrned space (X, ǁ · ǁ) into a 2–normed space (X, ǁ· , ·ǁ). In this paper we will investigate ...

The spectrum of the canonical operator in the noncommutative 2-torus Tθ depending on the parameter θ ∈ [0,1] © Douglas Hofstadter's butterfly. Licensed under ...

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 ...