What Do You Know About Herz–schur Multipliers?

10 Questions

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What Do You Know About Herzschur Multipliers?

Herz–Schur multipliers were named after two scientists: Carl S. Herz and Issai Schur. The multiplier was introduced by Haagerup and collaborators in 1985 and it is a special kind of mapping used in the field of representation theory, from a group to the complex number field. This quiz will help you know a bit more about Herz–Schur multipliers and if you already know, you can still try it out.


Questions and Answers
  • 1. 
    What is the S in Carl S. Herz? 
    • A. 

      Stanley

    • B. 

      Samuel

    • C. 

      Seth

    • D. 

      Scott

  • 2. 
    Which of these is not a category of Herz-Schur multipliers? 
    • A. 

      Positive multipliers

    • B. 

      Idempotent multipliers

    • C. 

      Radial multipliers

    • D. 

      Negative multipliers

  • 3. 
    Under what are the multipliers categorized? 
    • A. 

      Systematic analysis

    • B. 

      Dirichlet analysis

    • C. 

      Transformational analysis

    • D. 

      Harmonic analysis

  • 4. 
    The existence of a semi-group of Herz-Schur multipliers generated by a proper function is equivalent to which property? 
    • A. 

      Schur's property

    • B. 

      Herz multipliers

    • C. 

      Haagerup property

    • D. 

      Linearly bounded function

  • 5. 
    A Herz-Schur multiplier is a group of what?
    • A. 

      Arithmetic theory

    • B. 

      Marginal theory

    • C. 

      Representational theory

    • D. 

      Convolution

  • 6. 
    Which is another term that can be used to describe weak topology? 
    • A. 

      Initial topology

    • B. 

      Final topology

    • C. 

      Basic topology

    • D. 

      Fixed topology

  • 7. 
    Which of the following is another topology?
    • A. 

      Tough topology

    • B. 

      Great topology

    • C. 

      Strong topology

    • D. 

      Dual topology

  • 8. 
    What happens if the conditions of Haagerup's theorem are fulfilled?
    • A. 

      ||u||cbm = u(e)

    • B. 

      ||u||cbt = u(e)

    • C. 

      ||u||cbm = u(f)

    • D. 

      ||u||cbn = u(e)

  • 9. 
    The set of all Idempotent Herz-Schur multipliers is what type of algebra?
    • A. 

      Quadratic algebra

    • B. 

      Boolean algebra

    • C. 

      Schur's algebra

    • D. 

      Negative algebra

  • 10. 
    Haagerup was introduced together with another scientist. Which of these is the scientist?
    • A. 

      P. Austin

    • B. 

      L. Schur

    • C. 

      J. Kraus

    • D. 

      H. Henry