Journal of the Korean Mathematical Society (대한수학회지)
- Volume 32 Issue 2
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- Pages.311-319
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- 1995
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
Separating sets and systems of simultaneous equations in the predual of an operator algebra
- Jung, Il-Bong (Department of Mathematics Kyungpook National University ) ;
- Lee, Mi-Young (Department of Mathematics Kyungpook National University ) ;
- Lee, Sang-Hun (Department of Mathematics Kyungpook National University )
- Published : 1995.05.01
Abstract
Let $H$ be a separable, infinite dimensional, complex Hilbert space and let $L(H)$ be the algebra of all bounded linear operaors on $H$. A dual algebra is a subalgebra of $L(H)$ that contains the identity operator $I_H$ and is closed in the $weak^*$ topology on $L(H)$. Note that the ultraweak operator topology coincides with the $weak^*$ topology on $L(H)$ (see [5]).