The Hermitian part of a Rickart involution ring. I. (Q2875922)
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scientific article; zbMATH DE number 6329423
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Hermitian part of a Rickart involution ring. I. |
scientific article; zbMATH DE number 6329423 |
Statements
12 August 2014
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Hermitian parts
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involution rings
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logical order
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partial rings
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projections
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self-adjoint operators
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0.81067544
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The Hermitian part of a Rickart involution ring. I. (English)
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The paper is inspired by the idea to have interesting partial order on the set of Hermitian operators of a Hilbert space which can be assumed as a partial ring in the class of all bounded operators. For this, the author introduces and studies a partial ring, and he shows that the Hermitian part of any involution ring is a partial ring. Then he presents the logical order. Finally, a relation between a partial ring and a quasi-orthomodular poset is established.
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