### 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 - 2000 |

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### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*Journal of Lie Theory*,

*10*(1), 107-109.

**Supplements to the papers entitled "On a Theorem of S. Banach" and "the separable representations of U(H)".** / Neeb, Karl Hermann; Pickrell, Douglas M.

Research output: Contribution to journal › Article

*Journal of Lie Theory*, vol. 10, no. 1, pp. 107-109.

}

TY - JOUR

T1 - Supplements to the papers entitled "On a Theorem of S. Banach" and "the separable representations of U(H)"

AU - Neeb, Karl Hermann

AU - Pickrell, Douglas M

PY - 2000

Y1 - 2000

N2 - 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].

AB - 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].

UR - http://www.scopus.com/inward/record.url?scp=0012852003&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0012852003&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0012852003

VL - 10

SP - 107

EP - 109

JO - Journal of Lie Theory

JF - Journal of Lie Theory

SN - 0949-5932

IS - 1

ER -