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Convergent Extensions of Grid-Functions

✍ Scribed by R. Kornhuber


Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
469 KB
Volume
139
Category
Article
ISSN
0025-584X

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✦ Synopsis


It is well-known that functions uEWmlp(R) can be extended by a bounded linear operator E to functions EuC Wm7p(R"), if R is C"-regular and m s M . Here we prove a corresponding result for grid-functions with extension operators E, converging to E and mention some applications.


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to marvin rosenblum, with best wishes on the occasion of his retirement Several extensions of Loewner's theory of monotone operator functions are given. These include a theorem on boundary interpolation for matrix-valued functions in the generalized Nevanlinna class. The theory of monotone operator