What question did this study set out to answer?

The study investigates the relationships and properties of representations of locally compact groups on topological vector spaces.

March 29, 2026Journal of Lie theoryOpen Access

Factorization and Boundedness for Representations of Locally Compact Groups on Topological Vector Spaces

View Full Paper

Ask AI

Bookmark

The study investigates the relationships and properties of representations of locally compact groups on topological vector spaces.
Proved factorization of continuous morphisms through Lie quotients.
Characterized maximal almost-periodicity using continuous functions valued in Hausdorff spaces.
Applied results to determine the von Neumann kernel of identity components in compact-group representations.
Provided examples of complete locally convex spaces and analyzed representations on them.
New proof of factoring norm-continuous representations through Lie quotients.
Established a characterization of almost-periodicity in terms of continuous functions on groups.
Recovered the von Neumann kernel for identity components from bounded and continuous representations.
Identified conditions under which representations decompose into finite sums of isotypic components.

Discussion

No takes yet. Share an insight, caveat, or question.

Implication

This analysis characterizes the boundedness and decompositions of group representations in topological vector spaces, suggesting new insights into their structure.

Cite This Study

A. Chirvasitu (2024) studied this question.

synapsesocial.com/papers/69c8c15ade0f0f753b39bd37 https://doi.org/10.5802/jolt.1362

View Full Paper

Ask AI

Bookmark

Implication

This analysis characterizes the boundedness and decompositions of group representations in topological vector spaces, suggesting new insights into their structure.

Factorization and Boundedness for Representations of Locally Compact Groups on Topological Vector Spaces

Key Points

Discussion

Implication

Cite This Study

Factorization and Boundedness for Representations of Locally Compact Groups on Topological Vector Spaces

Key Points

Discussion

Implication

Cite This Study

Also Consider

Also Consider