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p-SUMMABLE COMMUTATORS IN DIMENSION d WILLIAM ARVESON
 

Summary: 



p-SUMMABLE COMMUTATORS IN DIMENSION d



WILLIAM ARVESON



Abstract. We show that many invariant subspaces M for d-shifts
(S1, . .,.Sd) of finite rank have the property that the orthogonal pro-
jection PM onto M satisfies

PM Sk - SkPM 2 Lp, 1 k d

for every p > 2d, Lp denoting the Schatten-von Neumann class of all
compact operators having p-summable singular value lists. In such cases,

  

Source: Arveson, William - Department of Mathematics, University of California at Berkeley

 

Collections: Mathematics