Home Quiz Have An Interesting Quiz on "Functional Analysis".
Preview (10 questions)
1 Question
30 seconds
Q.

Who is the father of Functional analysis?

Isaac Newton

Galileo Galilei

Albert Einstein

Stefan Banach
2 Question
30 seconds
Q.

In which studies do the historical roots of functional analysis lie?

Spaces of functions

The formulation of properties of transformations of functions

A set of functions

Infinite dimensional space
3 Question
30 seconds
Q.

When did the general concept of a functional analysis introduced?

1896

1887

1890

1876
4 Question
30 seconds
Q.

What is the first class of spaces studied in functional analysis over real or complex numbers?

Banach spaces

Operator algebras

C*-algebras

Fréchet spaces
5 Question
30 seconds
Q.

Describe Hilbert space.

A complete vector space with an inner product that is defined by the sequence

A complete vector space with an inner product that is defined by the norm

A complete vector space with an inner product that is defined by the set

A complete vector space with an inner product that is defined by the point
6 Question
30 seconds
Q.

Which theorem is known as one of the fundamental results in functional analysis?

Closed graph theorem

Open mapping theorem

The uniform boundedness principle

Noncommutative geometry
7 Question
30 seconds
Q.

Who published the Uniform boundedness principle in 1927?

Ada Lovelace and William Gilbert

Louis Pasteur and Michael Faraday

Nikola Tesla and Marie Curie

Stefan Banach and Hugo Steinhaus
8 Question
30 seconds
Q.

Which theorem is known as a central tool in functional analysis?

Hahn–Banach theorem

Geometry of Banach spaces

Boolean prime ideal theorem

Baire category theorem
9 Question
30 seconds
Q.

What is the symbol for the vector norm?

||-x||

||x||

||x^1||

||x^-1||
10 Question
30 seconds
Q.

Who developed the linear functional analysis?

Linnaeus

Aristotle

Riesz

Bhabha