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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


Puni tekst: engleski pdf 119 Kb

str. 505-512

preuzimanja: 559

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Sažetak

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.

Ključne riječi

Hilbert C*-module; unbounded operator; gap metric; Cayley transform

Hrčak ID:

62703

URI

https://hrcak.srce.hr/62703

Datum izdavanja:

24.12.2010.

Posjeta: 979 *