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Works cited by this work

41 works

Work: Derivations, local and 2-local derivations on algebras of measurable operators

  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. Local derivations

    Richard V. Kadison

    Article199052 citations
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  4. Local automorphisms and derivations on ℬ(ℋ)

    Peter Šemrl

    Article199749 citations
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  5. Local derivations and local automorphisms of ℬ(𝒳)

    David R. Larson, A. R. Sourour

    Other199041 citations
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  6. 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
    ABI

  7. Local derivations on $C^*$-algebras are derivations

    B. E. Johnson

    Article200031 citations
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  8. Local automorphisms and derivations on 𝕄_{𝕟}

    Sang Og Kim, Ju Seon Kim

    Article200326 citations
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  9. Automorphisms and Derivations on a Universally Complete Complex f-Algebra

    A. G. Kusraev

    Article200624 citations
    ABI

  10. 2-Local derivations and automorphisms on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>B</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>H</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>

    Sh. A. Ayupov, Karimbergen Kudaybergenov

    ArticleAdvanced Topics in AlgebraJournal of Mathematical Analysis and Applications201220 citations
    ABI

  11. Local and 2-local derivations on noncommutative Arens algebras

    Shavkat Ayupov, Karimbergen Kudaybergenov, B. O. Nurjanov +1

    ArticleAdvanced Topics in AlgebraMathematica Slovaca201419 citations
    ABI

  12. LOCAL DERIVATIONS ON ALGEBRAS OF MEASURABLE OPERATORS

    Sergio Albeverio, Sh. A. Ayupov, Karimbergen Kudaybergenov +1

    ArticleAdvanced Operator Algebra ResearchCommunications in Contemporary Mathematics201119 citations
    ABI

  13. Non-commutative Arens algebras and their derivations

    Sergio Albeverio, Sh. A. Ayupov, Karimbergen Kudaybergenov

    ArticleAdvanced Operator Algebra ResearchJournal of Functional Analysis200718 citations
    ABI

  14. Operator Algebras and Quantum Statistical Mechanics

    Ola Bratteli, Derek W. Robinson

    Book197917 citations
    ABI

  15. Non-commutative L<sup>P</sup>-spaces

    F. J. Yeadon

    Article197517 citations
    ABI

  16. 2-Local derivations on von Neumann algebras

    Shavkat Ayupov, Karimbergen Kudaybergenov

    ArticleAdvanced Topics in AlgebraPositivity201416 citations
    ABI

  17. Continuity of derivations of algebras of locally measurable operators

    A. F. Ber, Vladimir Chilin, Fedor Sukochev

    ArticleAdvanced Operator Algebra ResearchIntegral Equations and Operator Theory201314 citations
    ABI

  18. Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations

    Matej Brešar, Peter Šemrl

    Article199314 citations
    ABI

  19. Operator Algebras in Dynamical Systems

    Shôichirô Sakai

    Book199113 citations
    ABI

  20. 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

  21. Derivations on the algebra of measurable operators affiliated with a type I von Neumann algebra

    Sergio Albeverio, Sh. A. Ayupov, Karimbergen Kudaybergenov

    ArticleAdvanced Topics in AlgebraSiberian Advances in Mathematics200812 citations
    ABI

  22. On the algebra of measurable operators for a general $AW^{\ast}$-algebra, II

    Kazuyuki Saitô

    Article197112 citations
    ABI

  23. Innerness of continuous derivations on algebras of measurable operators affiliated with finite von Neumann algebras

    Shavkat Ayupov, Karimbergen Kudaybergenov

    ArticleAdvanced Operator Algebra ResearchJournal of Mathematical Analysis and Applications20139 citations
    ABI

  24. Representations, automorphisms, and derivations of some operator algebras

    Paul R. Chernoff

    Article19739 citations
    ABI

  25. Derivations in Commutative Regular Algebras

    A. F. Ber, Fedor Sukochev, Vladimir Chilin

    ArticleAdvanced Operator Algebra ResearchMathematical Notes20048 citations
    ABI