ON ABSOLUTE STABILITY
Texte intégral
Documents relatifs
We review the Pontryagin duality theory. A function from G to G' is called a homomorphism if it is continuous and preserves the group operation. B y the category of
We show that every such system gives rise, in a natural fashion, to an (S,B) system of imprimitivity (V,E) 5 and, every (S,B) system of imprimitivity is equivalent to one which
It is well known that absolute stability of a compact subset M of a locally compact metric space can be characterized by the presence of a fundamental system of absolutely
It is well known that absolute stability of a compact subset M of a locally compact metric space can be characterized by the presence of a fundamental system of absolutely
This lower bound—therefore, the sub-multiplicative inequality—with the following facts: a combinational modulus is bounded by the analytical moduli on tangent spaces of X, and b
For a large class of locally compact topological semigroups, which include all non-compact, a-compact and locally compact topological groups as a very special case,
From proposition 3.3 it is easy to conclude that any product (finite or infinite) of biquotient compact maps is a biquotient
Let X be the normed vector space of all real null sequences with metric d induced by the usual