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 ...

Let 𝑋 ⊂ 𝐵 (Ω) be a linear sublattice of 𝐵 (Ω) and 𝐴: 𝑋 → 𝑋 be a positive linear operator with constant functions as the fixed point set. In this paper,using the weekly Picard operators ...

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 ...

Fundamentally, the "big picture" of linear algebra is that of linear transformations. The application of it to solving systems of equations is a convenient introductory point.

Duality operators in symmetric 1D quantum lattice models can be implemented as unitary quantum circuits with linear depth by extending the Hilbert space with ancillary degrees of freedom and ...