| Automorphisms and Interpolation Properties of CSL Algebras |
| Received:October 07, 1996 |
| Key Words:
commutative subspace lattice reflexive algebra automorphism interpolation.
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| Abstract: |
| In the first section, a sufficient condition under which every automorphism of a CSL algebra is quasi-spatial is given' As a corollary, it follows that every automorphism of a tree algebra defined in [6] is quasi-spatial. In the second section, we present the interpolation properties of compact and finite--rank operators in a CSL algebra corresponding to order product and order sum of CSL. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2000.01.019 |
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