Who is the father of Functional analysis?
Isaac Newton
Galileo Galilei
Albert Einstein
Stefan Banach
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
When did the general concept of a functional analysis introduced?
1896
1887
1890
1876
What is the first class of spaces studied in functional analysis over real or complex numbers?
Banach spaces
Operator algebras
C*-algebras
Fréchet spaces
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
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
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
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
What is the symbol for the vector norm?
||-x||
||x||
||x^1||
||x^-1||
Who developed the linear functional analysis?
Linnaeus
Aristotle
Riesz
Bhabha
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