Automorphisms and Interpolation Properties of CSL Algebras
Received:October 07, 1996  
Key Words: commutative subspace lattice   reflexive algebra   automorphism   interpolation.  
Fund Project:
Author NameAffiliation
ZHAO Jun-xi Dept. of App. Math. and Phy.
Nanjing University of Posts and Telecommunications
210003 
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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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