Geodesic
Essential Norm and Weak Compactness of Composition Operators on Weighted Banach Spaces of Analytic Functions
Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 139-148

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DOI

Every weakly compact composition operator between weighted Banach spaces $H_{v}^{\infty }$ of analytic functions with weighted sup-norms is compact. Lower and upper estimates of the essential norm of continuous composition operators are obtained. The norms of the point evaluation functionals on the Banach space $H_{v}^{\infty }$ are also estimated, thus permitting to get new characterizations of compact composition operators between these spaces.
DOI : 10.4153/CMB-1999-016-x
Mots-clés : 47B38, 30D55, 46E15, weighted Banach spaces of holomorphic functions, composition operator, compact operator, weakly compact operator 
Bonet, José; Dománski, Paweł; Lindström, Mikael. Essential Norm and Weak Compactness of Composition Operators on Weighted Banach Spaces of Analytic Functions. Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 139-148. doi: 10.4153/CMB-1999-016-x
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     title = {Essential {Norm} and {Weak} {Compactness} of {Composition} {Operators} on {Weighted} {Banach} {Spaces} of {Analytic} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {139--148},
     year = {1999},
     volume = {42},
     number = {2},
     doi = {10.4153/CMB-1999-016-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-016-x/}
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