Centered weighted composition operators via measure theory
Mathematica Bohemica, Tome 143 (2018) no. 2, pp. 123-134
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We describe the centered weighted composition operators on $L^2(\Sigma )$ in terms of their defining symbols. Our characterizations extend Embry-Wardrop-Lambert's theorem on centered composition operators.
DOI :
10.21136/MB.2017.0080-16
Classification :
47B20, 47B38
Keywords: Aluthge transform; Moore-Penrose inverse; weighted composition operator; conditional expectation; centered operator
Keywords: Aluthge transform; Moore-Penrose inverse; weighted composition operator; conditional expectation; centered operator
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author = {Jabbarzadeh, Mohammad Reza and Jafari Bakhshkandi, Mehri},
title = {Centered weighted composition operators via measure theory},
journal = {Mathematica Bohemica},
pages = {123--134},
publisher = {mathdoc},
volume = {143},
number = {2},
year = {2018},
doi = {10.21136/MB.2017.0080-16},
mrnumber = {3831482},
zbl = {06890410},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2017.0080-16/}
}
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Jabbarzadeh, Mohammad Reza; Jafari Bakhshkandi, Mehri. Centered weighted composition operators via measure theory. Mathematica Bohemica, Tome 143 (2018) no. 2, pp. 123-134. doi: 10.21136/MB.2017.0080-16
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