Some Extensions of Loewner's Theory of Monotone Operator Functions

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Some Extensions of Loewner’s Theory of Monotone Operator Functions

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 functions is generalized from scalarto matrix-valued functions of an operator argument. A notion of κ-monotonicity is introduced and characterized in terms of classical ...

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ژورنال

عنوان ژورنال: Journal of Functional Analysis

سال: 2002

ISSN: 0022-1236

DOI: 10.1006/jfan.2001.3856