### Abstract

We explain how the theorem of Banach discussed in [Ne97] can be generalized to target spaces which are not necessarily path connected. Moreover, we correct errors in the literature concerning the classification of separable unitary representations for the Banach Lie group U(H) [Pi88, Pi90].

Original language | English (US) |
---|---|

Pages (from-to) | 107-109 |

Number of pages | 3 |

Journal | Journal of Lie Theory |

Volume | 10 |

Issue number | 1 |

State | Published - Dec 1 2000 |

### ASJC Scopus subject areas

- Algebra and Number Theory

## Fingerprint Dive into the research topics of 'Supplements to the papers entitled "On a Theorem of S. Banach" and "the separable representations of U(H)"'. Together they form a unique fingerprint.

## Cite this

Neeb, K. H., & Pickrell, D. (2000). Supplements to the papers entitled "On a Theorem of S. Banach" and "the separable representations of U(H)".

*Journal of Lie Theory*,*10*(1), 107-109.