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

Karl Hermann Neeb; Doug Pickrell

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

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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

ASJC Scopus subject areas

Algebra and Number Theory

Cite this

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title = "Supplements to the papers entitled {"}On a Theorem of S. Banach{"} and {"}the separable representations of U(H){"}",

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].",

author = "Neeb, {Karl Hermann} and Doug Pickrell",

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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, Doug

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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].

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M3 - Article

SN - 0949-5932

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JO - Journal of Lie Theory

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

Abstract

ASJC Scopus subject areas

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