Mixed-norm inequalities and operator space Lp embedding theory
The authors prove a noncommutative analogue of this inequality for sums of free random variables over a given von Neumann subalgebra. This formulation leads to new classes of noncommutative function spaces which appear in quantum probability as square functions, conditioned square functions and maxi...
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| Main Authors: | , |
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| Format: | eBook Book |
| Language: | English |
| Published: |
Providence, R.I
American Mathematical Society
2009
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| Series: | Memoirs of the American Mathematical Society |
| Subjects: | |
| ISBN: | 9780821846551, 0821846558 |
| Online Access: | Get full text |
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| Abstract | The authors prove a noncommutative analogue of this inequality for sums of free random variables over a given von Neumann subalgebra. This formulation leads to new classes of noncommutative function spaces which appear in quantum probability as square functions, conditioned square functions and maximal functions. |
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| AbstractList | The authors prove a noncommutative analogue of this inequality for sums of free random variables over a given von Neumann subalgebra. This formulation leads to new classes of noncommutative function spaces which appear in quantum probability as square functions, conditioned square functions and maximal functions. |
| Author | Junge, Marius Parcet, Javier |
| Author_xml | – sequence: 1 fullname: Junge, Marius – sequence: 2 fullname: Parcet, Javier |
| BackLink | https://cir.nii.ac.jp/crid/1130282272814341504$$DView record in CiNii |
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| ISBN | 9780821846551 0821846558 |
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| Notes | Volume 203, number 953 (2nd of 5 numbers). Includes bibliographical references (p. 153-155) |
| PageCount | 153 |
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| PublicationDate | c2009 2010-02-15 |
| PublicationDateYYYYMMDD | 2009-01-01 2010-02-15 |
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| PublicationPlace | Providence, R.I |
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| PublicationSeriesTitle | Memoirs of the American Mathematical Society |
| PublicationYear | 2009 2010 |
| Publisher | American Mathematical Society |
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| Snippet | The authors prove a noncommutative analogue of this inequality for sums of free random variables over a given von Neumann subalgebra. This formulation leads to... |
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| SubjectTerms | Banach spaces Harmonic analysis Lp spaces Martingales (Mathematics) Noncommutative function spaces Quantum statistics |
| Title | Mixed-norm inequalities and operator space Lp embedding theory |
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