Theorems on orthogonal decompositions are a cornerstone in the classical theory of real (or complex) matrices and operators on R-n. In the paper we consider finite dimensional inner product spaces (E,Phi) over a field K = ...

This article presents and discusses necessary conditions of optimality for infinite horizon dynamic optimization problems with inequality state constraints and set inclusion constraints at both endpoints of the trajectory. ...

This article presents and discusses necessary conditions of optimality for infinite horizon dynamic optimization problems with inequality state constraints and set inclusion constraints at both endpoints of the trajectory. ...

In this paper we introduce variable exponent local Hardy spaces $hLp$ associated with a non-negative self-adjoint operator $L$. We assume that, for every $t>0$, the operator $e^{-tL}$ has an integral representation whose ...

We present a mathematical formulation for a gauge theory for fields in the adjoint representation of SU n, where the fields are general differential forms living on the lattice objects, like sites, links, plaquettes, etc. ...

The algebraic method enables one to study the properties of the spectrum of a quadratic Hamiltonian through the mathematical properties of a matrix representation called regular or adjoint. This matrix exhibits exceptional ...