Glasnik matematički, Vol. 45 No. 2, 2010.
Original scientific paper
https://doi.org/10.3336/gm.45.2.15
Continuity of the polar decomposition for unbounded operators on Hilbert C*-modules
Kamran Sharifi
; Department of Mathematics, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran
Abstract
For unbounded operators t,s between Hilbert C*-modules which admit the polar decompositions V|t|, W|s|, respectively, we obtain an explicit upper bound estimate for the gap between t and s in terms of the norm of the bounded operators V-W, C|t|-C|s| and C|t*|-C|s*|, where C|t| and C|s| are the Cayley transforms of |t| and |s|. The result are used to drive a criterion for continuity of the polar decomposition for unbounded operators between Hilbert C*-modules.
Keywords
Hilbert C*-module; unbounded operator; gap metric; Cayley transform
Hrčak ID:
62703
URI
Publication date:
24.12.2010.
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