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Results tagged with oa.operator-algebras
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user 165275
Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
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On strong convergence versus weak in operator topology and semi-continuity of the spectrum
The spectrum (as a multivalued map) is upper semicontinuous with respect to the operator norm. With respect to strong convergence no analogous assertion is true, as can be seen in $\ell_2$ by the oper …
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