differentiable semigroups are lie groups
Clicks: 94
ID: 168385
1995
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This
article has not been analysed, so there is no overall score —
reader engagement is measured and shown alongside.
Reader Engagement
Popular Article
27.9
/100
94 views
8 readers
AI Quality Assessment
Not analyzed
Readership in this journal
PopularRanked #139 of 403 articles by views in structural engineering and mechanics
Most read
Least read
Bar heights use a square-root scale. Only the 120 most-read articles are drawn; the journal has 403 in total.
Mint this article as an NFT
Not yet mintedCreate a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.
5
SUSD
one-off · no wallet required
Abstract
We present here a modern, detailed proof to the following theorem which was introduced
by Garrett Birkhoff [1] in 1938. If S is a local semigroup with neighborhood of 1 homeomorphic to a
Banach space and with multiplication strongly differentiable at 1, then S is a local Lie Group. Although
this theorem is more than 50 years old and remains the strongest result relating to Hilbert's fifth problem
in the infinite dimensional setting, it is frequently overlooked in favor of weaker results. Therefore, it
is the goal of the authors here to clarify its importance and to demonstrate a proofwhich is more accessible
to contemporary readers than the one offered by Birkhoff.
| Reference Key |
holmes1995internationaldifferentiable
Use this key to autocite in the manuscript while using
SciMatic Manuscript Manager or Thesis Manager
|
|---|---|
| Authors | ;John P. Holmes;Mitch Anderson |
| Journal | structural engineering and mechanics |
| Year | 1995 |
| DOI |
10.1155/S0161171295000652
|
| URL | |
| Keywords |
Citations
No citations found. To add a citation, contact the admin at info@scimatic.org
Comments
No comments yet. Be the first to comment on this article.