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This study is on the factorization properties of continuous homomorphisms defined on subgroups (or submonoids) of products of (para)topological groups (or monoids). A typical result is the following one: Let… Click to show full abstract
This study is on the factorization properties of continuous homomorphisms defined on subgroups (or submonoids) of products of (para)topological groups (or monoids). A typical result is the following one: Let D=∏i∈IDi be a product of paratopological groups, S be a dense subgroup of D, and χ a continuous character of S. Then one can find a finite set E⊂I and continuous characters χi of Di, for i∈E, such that χ=∏i∈Eχi∘piS, where pi:D→Di is the projection.
Keywords:
continuous characters;
factoring continuous;
characters defined;
topological groups;
defined subgroups;
subgroups products
Journal Title: Axioms
Year Published: 2021
Link to full text (if available)
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Journal Title: Axioms
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!