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