Essential norm and weak compactness of composition operators on weighted Banach spaces of analytic functions

José Bonet; Paweł Domański; Mikael Lindström

doi:10.4153/CMB-1999-016-x

Essential norm and weak compactness of composition operators on weighted Banach spaces of analytic functions

José Bonet
, Paweł Domański
, Mikael Lindström

Matematiikka

Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

104 Sitaatiot (Scopus)

Abstrakti

Every weakly compact composition operator between weighted Banach spaces H^∞_v 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 are also estimated, thus permitting to get new characterizations of compact composition operators between these spaces.

Alkuperäiskieli	Englanti
Sivut	139-148
Sivumäärä	10
Julkaisu	Canadian Mathematical Bulletin
Vuosikerta	42
Numero	2
DOI - pysyväislinkit	https://doi.org/10.4153/CMB-1999-016-x
Tila	Julkaistu - kesäk. 1999
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

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10.4153/CMB-1999-016-x

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abstract = "Every weakly compact composition operator between weighted Banach spaces H∞v 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 are also estimated, thus permitting to get new characterizations of compact composition operators between these spaces.",

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author = "Jos{\'e} Bonet and Pawe{\l} Doma{\'n}ski and Mikael Lindstr{\"o}m",

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doi = "10.4153/CMB-1999-016-x",

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T1 - Essential norm and weak compactness of composition operators on weighted Banach spaces of analytic functions

AU - Bonet, José

AU - Domański, Paweł

AU - Lindström, Mikael

PY - 1999/6

Y1 - 1999/6

N2 - Every weakly compact composition operator between weighted Banach spaces H∞v 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 are also estimated, thus permitting to get new characterizations of compact composition operators between these spaces.

AB - Every weakly compact composition operator between weighted Banach spaces H∞v 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 are also estimated, thus permitting to get new characterizations of compact composition operators between these spaces.

KW - Compact operator

KW - Composition operator

KW - Weakly compact operator

KW - Weighted Banach spaces of holomorphic functions

UR - https://www.scopus.com/pages/publications/0000410554

U2 - 10.4153/CMB-1999-016-x

DO - 10.4153/CMB-1999-016-x

M3 - Article

AN - SCOPUS:0000410554

SN - 0008-4395

VL - 42

SP - 139

EP - 148

JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

IS - 2

ER -

Essential norm and weak compactness of composition operators on weighted Banach spaces of analytic functions

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