The Lefschetz fixed point theory for morphisms in topological vector spaces

Abstract

The Lefschetz Fixed Point Theorem for compact absorbing
contraction morphisms (${\mathbb{CAC}}$-morphisms) of retracts of open
subsets in admissible spaces in the sense of Klee is proved.
Moreover, the relative version of the Lefschetz Fixed Point Theorem
and the Lefschetz Periodic Theorem
are considered. Additionally, a full classification of morphisms with
compact attractors in the non-metric case is obtained.