Compact Endomorphisms of Certain Subalgebras of the Disk Algebra

compact endomorphisms of certain subalgebras of the disk algebra

Modules over Subalgebras of the Disk Algebra

This paper deals with the problem of characterizing submodules of C(T) over certain subalgebras of the disk algebra A. We obtain results that are analogues of the classical characterizations of subspaces of C(T) that are invariant under multiplication by z, i.e., that are submodules over A. These characterizations yield generalizations of Wermer’s maximality theorem applicable to these subalgeb...

Existence of an Algebra Norm on Certain Subalgebras of C(X)

existence of an algebra norm on certain subalgebras of c(x)

0

Structure of Certain Banach Algebra Products

Let  and  be Banach algebras, ,  and . We define an -product on  which is a strongly splitting extension of  by . We show that these products form a large class of Banach algebras which contains all module extensions and triangular Banach algebras. Then we consider spectrum, Arens regularity, amenability and weak amenability of these products.

On subalgebras of an evolution algebra of a "chicken" population

We consider an evolution algebra which corresponds to a bisexual population with a set of females partitioned into finitely many different types and the males having only one type. For such algebras in terms of its structure constants we calculate right and plenary periods of generator elements. Some results on subalgebras of EACP and ideals on low-dimensional EACP are obtained.