# What Do You Know About Herz–schur Multipliers?

10 Questions | Total Attempts: 106  Settings  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.

• 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.

• 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.

• 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

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