Volume 4,  Issue 5, 2003

Article 88

INTERPOLATION FUNCTIONS OF SEVERAL MATRIX VARIABLES

Y. AMEUR

KARLSROGATAN 83A 
S-752 39 UPPSALA, 
SWEDEN.
E-Mail: yacin@math.uu.se

Received 16 March, 2003; Accepted 14 November, 2003.
Communicated by: F. Hansen

ABSTRACT.   An interpolation theorem of Donoghue is extended to interpolation of tensor products. The result is related to Korányi's work on monotone matrix functions of several variables.
Key words:
Interpolation, Tensor product, Hilbert space, Korányi's theorem.

2000 Mathematics Subject Classification:
Primary: 46B70, Secondary: 46C15, 47A80.

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