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Dive into the research topics where Fedor Anatol'evich Sukochev is active.

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Featured researches published by Fedor Anatol'evich Sukochev.


Israel Journal of Mathematics | 1997

THE KADEC-KLEE PROPERTY IN SYMMETRIC SPACES OF MEASURABLE OPERATORS

V. I. Chilin; P. G. Dodds; Fedor Anatol'evich Sukochev

We show that ifE is a separable symmetric Banach function space on the positive half-line thenE has the Kadec-Klee property if and only if, for every semifinite von Neumann algebra (M, τ), the associated spaceE(M, τ) ofτ-measurable operators has the Kadec-Klee property.


Israel Journal of Mathematics | 2000

Linear-topological classification of separableL p-spaces associated with von Neumann algebras of type I

Fedor Anatol'evich Sukochev

AbstractWe classify, up to a linear-topological isomorphism, all separableLp-spaces, 1≤p<∞, associated with von Neumann algebras of type I. In particular, anyLp-space associated with an infinite-dimensional atomic von Neumann algebra is isomorphic tolp, or toCp, or to


Integral Equations and Operator Theory | 1999

Lipschitz continuity of the absolute value in preduals of semifinite factors

P. G. Dodds; Theresa K.-Y. Dodds; B. de Pagter; Fedor Anatol'evich Sukochev


Integral Equations and Operator Theory | 2001

Vilenkin systems and generalized triangular truncation operator

P. G. Dodds; S. V. Ferleger; B. de Pagter; Fedor Anatol'evich Sukochev

Sp = (\sum {_{n = 1}^\infty C_p^n )_{l_p } }


Studia Mathematica | 2000

Schauder decompositions and multiplier theorems

Philippe Clément; B. de Pagter; Fedor Anatol'evich Sukochev; H. Witvliet


Journal of Functional Analysis | 1997

Lipschitz Continuity of the Absolute Value and Riesz Projections in Symmetric Operator Spaces

P. G. Dodds; Theresa K.-Y. Dodds; B. de Pagter; Fedor Anatol'evich Sukochev

. Further, anyLp-space,p∈[1,∞),p∈2 associated with an infinite-dimensional von Neumann algebraM of type I is isomorphic to one of the following nine Banach spaces: lp, Lp, SP, Cp, Sp ⊕ Lp, Lp(Sp), Cp ⊕ Lp, Lp(Cp), Cp ⊕ Lp(Sp). In the casep=1 all the spaces in this list are pairwise non-isomorphic.


Journal of Functional Analysis | 2004

Differentiation of operator functions in non-commutative Lp-spaces

B. de Pagter; Fedor Anatol'evich Sukochev

We prove a weak-type estimate for the absolute value mapping in the preduals of semifinite factors which extends an earlier result of Kosaki for the trace class.


Matematicheskie Zametki | 2004

Сравнение сумм независимых и дизъюнктных функций в симметричных пространствах@@@Comparison of Sums of Independent and Disjoint Functions in Symmetric Spaces

Сергей Владимирович Асташкин; Sergei Vladimirovich Astashkin; Федор Анатольевич Сукочев; Fedor Anatol'evich Sukochev

We study actions of the Vilenkin group ∏∞k=0ℤm(k) onLp-spaces associated with a semi-finite von Neumann algebra М, via a generalized triangular truncation operator. The systems of eigenspaces that arise contain the classical unbounded Vilenkin systems and we show that such systems with the inverse lexicographic enumeration form Schauder decompositions in all reflexive non-commutativeLp-spaces. This is a non-commutative analogue of a theorem of Paley for unbounded Vilenkin systems, which in the classical setting is due to W.S. Young, F. Schipp and P. Simon.


Uspekhi Matematicheskikh Nauk | 2006

Следы Диксмье и некоторые приложения в некоммутативной геометрии@@@Dixmier traces and some applications in non-commutative geometry

Ален Л. Кери; Alan L. Carey; Федор Анатольевич Сукочев; Fedor Anatol'evich Sukochev


Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya | 2003

Сингулярные симметричные функционалы и банаховы пределы с дополнительными свойствами инвариантности@@@Singular symmetric functionals and Banach limits with additional invariance properties

П Г Доддс; P. G. Dodds; Бернардус де Пагтер; Bernardus de Pagter; Александр Андреевич Седаев; Alexsandr Andreevich Sedaev; Евгений Михайлович Семeнов; Evgenii Mikhailovich Semenov; Федор Анатольевич Сукочев; Fedor Anatol'evich Sukochev

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Dmitriy Zanin

University of New South Wales

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Steven Lord

University of Adelaide

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B. de Pagter

Delft University of Technology

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Aleksandr Usachev

University of New South Wales

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Vladimir Chilin

National University of Uzbekistan

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Alan L. Carey

Australian National University

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