Abstract
In this paper we introduce the noncommutative \(H^{(r,s)}_{p}({\mathcal A};\ell _{\infty })\) and \(H_{p}({\mathcal A};\ell _{1})\) spaces, and prove the contractivity of the underlying conditional expectation \(\varPhi \) on these spaces. We also give results on duality and complex interpolation.
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Acknowledgments
The author is grateful to the anonymous referee for making helpful comments and suggestions, which have been incorporated into this version of the paper. This work is supported by project 3606/GF4 of Science Committee of Ministry of Education and Science of Republic of Kazakhstan.
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Bekjan, T.N., Tulenov, K. & Dauitbek, D. The noncommutative \(H^{(r,s)}_{p}({\mathcal A};\ell _{\infty })\) and \(H_{p}({\mathcal A};\ell _{1})\) spaces. Positivity 19, 877–891 (2015). https://doi.org/10.1007/s11117-015-0332-x
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DOI: https://doi.org/10.1007/s11117-015-0332-x