Representation and approximation of the polar factor of an operator on a Hilbert space

Mostafa Mbekhta;

doi:10.3934/dcdss.2020463

Representation and approximation of the polar factor of an operator on a Hilbert space

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2020463 ◽

2018 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Mostafa Mbekhta ◽

Keyword(s):

Hilbert Space ◽

Polar Factor

Approximation of the polar factor of an operator acting on a Hilbert space

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.123954 ◽

2020 ◽

Vol 487 (1) ◽

pp. 123954

Author(s):

Mostafa Mbekhta

Keyword(s):

Hilbert Space ◽

Polar Factor

An Introduction to Hilbert Space

10.1017/cbo9781139172011 ◽

1988 ◽

Cited By ~ 179

Author(s):

N. Young

Keyword(s):

Hilbert Space

10.1017/cbo9781139172592 ◽

1993 ◽

Cited By ~ 13

Author(s):

J. R. Retherford

Keyword(s):

Hilbert Space

UNIQUENESS OF THE MILD SOLUTION OF SEMILINEAR STOCHASTIC EVOLUTION EQUATION IN HILBERT SPACE

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30072-9 ◽

1993 ◽

Vol 13 (4) ◽

pp. 384-390

Author(s):

Minghao Xu ◽

Zecheng Hu

Keyword(s):

Hilbert Space ◽

Evolution Equation ◽

Mild Solution ◽

Stochastic Evolution Equation ◽

Stochastic Evolution

On Interpolation Accuracy of Polynomial Operators in Hilbert Space with Measure

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v31.i11.110 ◽

1999 ◽

Vol 31 (11) ◽

pp. 79-85

Author(s):

V. V. Khlobustov

Keyword(s):

Hilbert Space ◽

Interpolation Accuracy ◽

Polynomial Operators

A study the Spectrum for A Probabilistic Hilbert Space Operator

Diyala Journal for Pure Science ◽

10.24237/djps.1303.238a ◽

2017 ◽

Vol 13 (3) ◽

pp. 170-182

Author(s):

Sarkesh Khalid Ridha ◽

Keyword(s):

Hilbert Space ◽

Space Operator ◽

Hilbert Space Operator

On Definition of Expansion Probabilistic Hilbert Space

Diyala Journal for Pure Science ◽

10.24237/djps.1403.417a ◽

2018 ◽

Vol 14 (3) ◽

pp. 59-73

Author(s):

Ahmed Hasan Hamed ◽

Keyword(s):

Hilbert Space ◽

Definition Of

ON A GENERALIZATION OF THE HILBERT SPACE

Demonstratio Mathematica ◽

10.2478/dema-1989-0102 ◽

1989 ◽

Vol 22 (1) ◽

pp. 1-20

Author(s):

Hubert Wywcki

Keyword(s):

Hilbert Space

On The Class of (K-N)* Quasi-N-Normal Operators on Hilbert Space

Iraqi Journal of Science ◽

10.24996/ijs.2017.58.4b.20 ◽

2017 ◽

Vol 58 (4B) ◽

Keyword(s):

Hilbert Space ◽

Normal Operators

The Essence of Quantum Computing

10.34048/2018.1.f1 ◽

2018 ◽

Author(s):

Rajendra K. Bera

Keyword(s):

Hilbert Space ◽

Quantum Computing ◽

Quantum Physics ◽

Quantum Algorithms ◽

Quantum Computers ◽

Turing Machines ◽

Classical Physics ◽

Core Set ◽

The World ◽

Subordinate Role

It now appears that quantum computers are poised to enter the world of computing and establish its dominance, especially, in the cloud. Turing machines (classical computers) tied to the laws of classical physics will not vanish from our lives but begin to play a subordinate role to quantum computers tied to the enigmatic laws of quantum physics that deal with such non-intuitive phenomena as superposition, entanglement, collapse of the wave function, and teleportation, all occurring in Hilbert space. The aim of this 3-part paper is to introduce the readers to a core set of quantum algorithms based on the postulates of quantum mechanics, and reveal the amazing power of quantum computing.