Neeb KH (2001)
Publication Type: Journal article, Original article
Publication year: 2001
Publisher: Springer Verlag (Germany)
Book Volume: 63
Pages Range: 71-105
Journal Issue: 1
If D is a bounded symmetric domain in a complex Banach space Z, then the identity component G of its group of biholomorphic automorphisms permits a natural embedding into a complex Banach—Lie group H acting partially on Z. A typical model is the action of the group PSL(2,C) by Moebius transformations. In this paper we show that the interior S 0 of the compression semigroup S := { h ∈ H: h.D \subeq D } has a polar decomposition in the sense that S 0 = G \exp(W_G^0), where W_G \subeq ig is a closed convex invariant cone and the polar map G \times W_G^0 → S^0 is a diffeomorphism.
APA:
Neeb, K.H. (2001). Compressions of infinite-dimensional bounded symmetric domains. Semigroup Forum, 63(1), 71-105. https://dx.doi.org/10.1007/s002330010037
MLA:
Neeb, Karl Hermann. "Compressions of infinite-dimensional bounded symmetric domains." Semigroup Forum 63.1 (2001): 71-105.
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