A characterization of derivations by functional equations.
A generalization of Moore-Penrose biorthogonal systems.
A method for computing quadratic Brunovsky forms.
Abstract physical traces.
Adjacency preserving mappings of rectangular matrices.
Algebraic reflexivity for semigroups of operators.
Algebraic theory of fast mixed-radix transforms. II. Computational complexity and applications
An algebraic construction of discrete wavelet transforms
Discrete wavelets are viewed as linear algebraic transforms given by banded orthogonal matrices which can be built up from small matrix blocks satisfying certain conditions. A generalization of the finite support Daubechies wavelets is discussed and some special cases promising more rapid signal reduction are derived.
Antiprojectors with applications in the spectral theory
Approximating real linear operators
A framework to extend the singular value decomposition of a matrix to a real linear operator is suggested. To this end real linear operators called operets are introduced, to have an appropriate generalization of rank-one matrices. Then, adopting the interpretation of the singular value decomposition of a matrix as providing its nearest small rank approximations, ℳ is approximated with a sum of operets.