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Factorization Theorems for Homogeneous Maps on Banach Function Spaces and Approximation of Compact Operators

✍ Scribed by Rueda, Pilar; Sánchez-Pérez, Enrique A.

Book ID
121546433
Publisher
SP Birkhäuser Verlag Basel
Year
2014
Tongue
English
Weight
411 KB
Volume
12
Category
Article
ISSN
1660-5446

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Let X be a real Banach space and T : D(T) C X --\\* 2 X be an m-accretive operator. Let C : D(T) C X --~ X be a bounded operator (not necessarily continuous) such that C(T -+-i)-1 is compact. Suppose that for every x • D(T) with Hxll > r, there exists jx 6 Jx such that > o, (,) for all u E Tx. Then