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Original Articles

Block-matrix generalizations of infinite-dimensional schur products and schur multipliers

Pages 59-78 | Received 18 May 1993, Published online: 30 May 2007

References

  • Bennet , G. 1977 . Schur multipliers . Duke Math. J. , 44 : 603 – 639 .
  • Calkin , J. W. 1941 . Two sided ideals and congruences in the ring of bounded operators in Hilbert space . Ann. of Math. , 42 : 839 – 872 .
  • Horn , R. A. 1990 . The Hadamard product. Matrix Theory and Applications . Proc. Sympos. Appl. Math , 40 : 87 – 167 . AMS
  • Horn , R. A. and Mathias , Roy . 1992 . Block-matrix generalizations of Schur's basic theorems on Hadamard products . Linear Algebra Appl. , 172 : 337 – 346 .
  • Horn , R. A. 1991 . Roy Mathias and Yoshihiro Nakamura, Inequalities for unitarily invariant norms and bilinear matrix products . Linear and Multilinear Algebra , 30 ( 4 ) : 303 – 314 .
  • Livshits , L. 1993 . Continuity of Schur-block-multiphcation maps with respect to various topologies . 30 ( 4 ) May to appear
  • Livshits , L. 1991 . Generalized Schur products for matrices with operator entries , University of Toronto . Ph.D.dissertation
  • Paulsen , V. I. 1986 . “ Completely bounded maps and dilations ” . In Pitman Research Notes in Mathematics , Vol. 146 , Longman/John Wiley & Sons .
  • Stout , Q. F. 1977 . Schur multiplication on B(H) , Indiana University . Ph.D. dissertation

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