On interpolation of noncommutative symmetric Hardy spaces

Turdebek N. Bekjan, Manat Mustafa

Research output: Contribution to journal › Article

Abstract

We proved the noncommutative analogue of Calderón’s result for fully symmetric spaces (Formula presented.) and (Formula presented.) on (0, 1) and for a finite von Neumann algebra (Formula presented.). We also proved the noncommutative symmetric Hardy space’s analogue of Calderón’s result for fully symmetric spaces and for finite subdiagonal subalgebras.

Original languageEnglish
Pages (from-to)1-11
Number of pages11
JournalPositivity
DOIs
Publication statusAccepted/In press - Jan 17 2017

Fingerprint

Symmetric Spaces
Hardy Space
Algebra
Interpolation
Interpolate
Finite Von Neumann Algebras
Analogue
Subalgebra

Keywords

  • Complex interpolation
  • Noncommutative symmetric Hardy space
  • Pointwise product space

ASJC Scopus subject areas

  • Analysis
  • Theoretical Computer Science
  • Mathematics(all)

Cite this

On interpolation of noncommutative symmetric Hardy spaces. / Bekjan, Turdebek N.; Mustafa, Manat.

In: Positivity, 17.01.2017, p. 1-11.

Research output: Contribution to journal › Article

Bekjan, TN & Mustafa, M 2017, 'On interpolation of noncommutative symmetric Hardy spaces', Positivity, pp. 1-11. https://doi.org/10.1007/s11117-017-0468-y
Bekjan TN, Mustafa M. On interpolation of noncommutative symmetric Hardy spaces. Positivity. 2017 Jan 17;1-11. https://doi.org/10.1007/s11117-017-0468-y
Bekjan, Turdebek N. ; Mustafa, Manat. / On interpolation of noncommutative symmetric Hardy spaces. In: Positivity. 2017 ; pp. 1-11.
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