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 ...

Carpathian Journal of Mathematics, Vol. 24, No. 3, SPECIAL ISSUE INCLUDING SELECTED PAPAERS PRESENTED TO ICAM 6 (6th International Conference on Applied Mathematics) Baia Mare, 18-21 September 2008 ...

This is a subject I struggled with the first time I took it. Ironically, this was the engineering version of it. It wasn't until I took the rigorous, axiomatic version that everything clicked.

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 ...