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Linear and Multilinear Algebra Volume 11, 1982 - Issue 2
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Original Articles

Triangle inequalities in operator algebras

Charles A. Akemann University of California, Pennsylvania State University and Copenhagen University, Santa Barbara
,
Joel Anderson University of California, Pennsylvania State University and Copenhagen University, Santa Barbara
&
Gertk Pedersen University of California, Pennsylvania State University and Copenhagen University, Santa Barbara
Pages 167-178 | Published online: 02 Apr 2008

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S. Mahmoud Manjegani. (2017) On Young and Heinz inequalities for faithful tracial states. Linear and Multilinear Algebra 65:12, pages 2432-2456.
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Robert C. Thompson. (1989) The matrix valued triangle inequality:quaternion version. Linear and Multilinear Algebra 25:1, pages 85-91.
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Masaru Nagisa & Yasuo Watatani. (2023) Non-linear traces on the algebra of compact operators and majorization. Indagationes Mathematicae 34:4, pages 724-751.
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Sajjad Abedi & Mohammad Sal Moslehian. (2022) Power-norms based on Hilbert $$C^*$$-modules. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 117:1.
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A. M. Bikchentaev. (2020) Metrics on Projections of the Von Neumann Algebra Associated with Tracial Functionals. Siberian Mathematical Journal 60:6, pages 952-956.
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A. M. Bikchentaev & S. A. Abed. (2019) Projections and Traces on von Neumann Algebras. Lobachevskii Journal of Mathematics 40:9, pages 1260-1267.
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Airat Midkhatovich Bikchentaev. (2019) Renormalizations of measurable operator ideal spaces affiliated to semi-finite von Neumann algebra. Ufa Mathematical Journal Ufimskii Matematicheskii Zhurnal 11:3, pages 3-10.
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A. M. Bikchentaev. (2018) Ideal Spaces of Measurable Operators Affiliated to A Semifinite Von Neumann Algebra. Siberian Mathematical Journal 59:2, pages 243-251.
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A. M. Bikchentaev. (2016) Convergence of integrable operators affiliated to a finite von Neumann algebra. Proceedings of the Steklov Institute of Mathematics 293:1, pages 67-76.
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ASSAF NAOR & GIDEON SCHECHTMAN. (2016) METRIC INEQUALITIES. Forum of Mathematics, Pi 4.
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Airat M. Bikchentaev. (2013) On hermitian operators X and Y meeting the condition −Y ≤ X ≤ Y. Lobachevskii Journal of Mathematics 34:3, pages 227-233.
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A. M. Bikchentaev. (2011) Commutation of projections and trace characterization on von Neumann algebras. II. Mathematical Notes 89:3-4, pages 461-471.
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Айрат Мидхатович Бикчентаев & Airat Midkhatovich Bikchentaev. (2011) Перестановочность проекторов и характеризация следа на алгебрах фон Неймана. IICommutation of Projections and Trace Characterization on von Neumann Algebras. II. Математические заметки Matematicheskie Zametki 89:4, pages 483-494.
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A.M. Bikchentaev. (2010) Commutativity of projections and characterization of traces on Von Neumann algebras. Siberian Mathematical Journal 51:6, pages 971-977.
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Лидия Владимировна Веселова, Lidia Vladimirovna Veselova, Федор Анатольевич Сукочев, Fedor Anatol'evich Sukochev, Олег Евгеньевич Тихонов & Oleg Evgen'evich Tikhonov. (2007) Интерполяция положительных операторовInterpolation of Positive Operators. Математические заметки Matematicheskie Zametki 81:1, pages 43-58.
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