T. Dobrowolski, EVERY INFINITE-DIMENSIONAL HILBERT-SPACE IS REAL-ANALYTICALLY ISOMORPHIC WITH ITS UNIT-SPHERE, Journal of functional analysis, 134(2), 1995, pp. 350-362
The title statement is proved. Similar results for arbitrary Banach sp
aces are obtained in both the real-analytic and the C-p settings. (C)
1995 Academic Press, Inc.