Moment functions of higher rank on polynomial hypergroups

On higher rank numerical hulls of normal matrices

‎In this paper‎, ‎some algebraic and geometrical properties of the rank$-k$ numerical hulls of normal matrices are investigated‎. ‎A characterization of normal matrices whose rank$-1$ numerical hulls are equal to their numerical range is given‎. ‎Moreover‎, ‎using the extreme points of the numerical range‎, ‎the higher rank numerical hulls of matrices of the form $A_1 oplus i A_2$‎, ‎where $A_1...

Higher rank Einstein solvmanifolds

In this paper we study the structure of standard Einstein solvmanifolds of arbitrary rank. Also the validity of a variational method for finding standard Einstein solvmanifolds is proved.

HOMOMORPHISMS OF l-ALGEBRAS ON SIGNED POLYNOMIAL HYPERGROUPS

Let {Rn} and {Pn} be two polynomial systems which induce signed polynomial hypergroup structures on N0. We investigate when the Banach algebra l(N0, h) can be continuously embedded into or is isomorphic to l(N0, h ). We find sufficient conditions on the connection coefficients cnk given by Rn = ∑n k=0 cnkPk, for the existence of such an embedding or isomorphism. Finally we apply these results t...

Point Derivations on the l-Algebra of Polynomial Hypergroups

Polynomial hypergroups are a very interesting class of hypergroups with a great variety of examples which are quite different from groups. So the L-algebras of hypergroups have properties very distinguished to the L-algebras of groups, in particular in the context of amenability and related conditions. Being amenable the L-algebra of an abelian group does not possess any non-zero bounded point ...

Prediction of Weakly Stationary Sequences on Polynomial Hypergroups