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Order units in a<Emphasis Type="Italic">C</Emphasis>* -algebra |
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| Authors: | |
| Institution: | (1) Department of Mathematics, Deen Dayal Upadhyaya College, 110015 New Delhi, India |
| Abstract: | Order unit property of a positive element in aC* -algebra is defined. It is proved that precisely projections satisfy this order theoretic property. This way, unital hereditary C*-subalgebras of aC* -algebra are characterized. |
| Keywords: | Matrix order unit property matrix order unit ideal |
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