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Works cited by this work

43 works

Work: Non-existence of translation-invariant derivations on algebras of measurable functions

  1. A Non-Commutative Extension of Abstract Integration

    I. E. Segal

    Article195362 citations
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  2. Notes on non-commutative integration

    Edward Nelson

    Article197459 citations
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  3. Theory of Operator Algebras II

    Masamichi Takesaki

    Book200351 citations
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  4. Theory of Operator Algebras I

    Masamichi Takesaki

    Book197950 citations
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  5. Structure of derivations on various algebras of measurable operators for type I von Neumann algebras

    Sergio Albeverio, Sh. A. Ayupov, Karimbergen Kudaybergenov

    ArticleAdvanced Operator Algebra ResearchJournal of Functional Analysis200834 citations
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  6. Operator Algebras and Quantum Statistical Mechanics

    Ola Bratteli, Derek W. Robinson

    Book199728 citations
    ABI

  7. Automorphisms and Derivations on a Universally Complete Complex f-Algebra

    A. G. Kusraev

    Article200624 citations
    ABI

  8. Operator Algebras and Quantum Statistical Mechanics

    Ola Bratteli, Derek W. Robinson

    Book197917 citations
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  9. Non-trivial derivations on commutative regular algebras

    A. F. Ber, Vladimir Chilin, Fedor Sukochev

    Article200617 citations
    ABI

  10. Singular Traces: Theory and Applications

    Steven Lord, Fedor Sukochev, Dmitriy Zanin +1

    Book201217 citations
    ABI

  11. Fundamentals of the Theory of Operator Algebras

    Richard V. Kadison, J. R. Ringrose

    Book199214 citations
    ABI

  12. Operator Algebras in Dynamical Systems

    Shôichirô Sakai

    Book199113 citations
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  13. A note on derivations of Murray–von Neumann algebras

    Richard V. Kadison, Zhe Liu

    Article201413 citations
    ABI

  14. Continuous derivations on algebras of locally measurable operators are inner

    A. F. Ber, V. I. Chilin, F. A. Sukochev

    ArticleAdvanced Topics in AlgebraProceedings of the London Mathematical Society201412 citations
    ABI

  15. Untitled

    Other11 citations
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  16. The space 𝐿^{𝜔} and convex topological rings

    Richard Arens

    Article194611 citations
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  17. Normed Köthe spaces: A non-commutative viewpoint

    Peter G. Dodds, B. de Pagter

    Article201311 citations
    ABI

  18. Continuous Rings and Their Arithmetics

    John von Neumann

    Article193711 citations
    ABI

  19. Commutator estimates in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>W</mml:mi><mml:mo>⁎</mml:mo></mml:msup></mml:math>-algebras

    A. F. Ber, Fedor Sukochev

    ArticleAdvanced Operator Algebra ResearchJournal of Functional Analysis20119 citations
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  20. Derivations in Commutative Regular Algebras

    A. F. Ber, Fedor Sukochev, Vladimir Chilin

    ArticleAdvanced Operator Algebra ResearchMathematical Notes20048 citations
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  21. Commutator estimates in 𝑊*-factors

    A. F. Ber, Fedor Sukochev

    ArticleAdvanced Operator Algebra ResearchTransactions of the American Mathematical Society20128 citations
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  22. Algebras of Log-Integrable Functions and Operators

    Ken Dykema, Fedor Sukochev, Dmitriy Zanin

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  23. Geometric Measure Theory

    Herbert Fédérer

    Book19968 citations
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  24. Derivations of Operator Algebras

    Richard V. Kadison

    Article19667 citations
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  25. Derivations of W ∗ -Algebras

    Shôichirô Sakai

    Article19667 citations
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