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38 008 (0,159s) •

Result

A quantitative version of Krein´s Theorem. To the memory of Vlastimil Pták

A quantitative version of Krein´s Theorem on convex hulls of weak compact sets is proved. Some applications to weakly compactly generated Banach spaces are given....

BA - Obecná matematika

  • 2005
    • •
  • Jx
Result

Krein Spaces in de Sitter Quantum Theories

space-time relativity based on the de Sitter group SO0(1, 4) or Sp(2, 2) as an appealing substitute to the flat space-time Poincare relativity. Quantum elementary representations involving Krein structures and related unde...

BE - Teoretická fyzika

  • 2010
    • •
  • Jx
Result

PT-symmetric quantum models living in an auxiliary Pontryagin space

The recent heuristic as well as phenomenological success of the use of nonHermitian Hamiltonians which are required self-adjoint in a Krein space K is recalled, and an extension of the scope of such a version of quantum theory is pr...

BE - Teoretická fyzika

  • 2012
    • •
  • Jx
Result

States on EMV-algebras

, where the top element is not assumed. The state space of an EMV-algebra is a convex space that is not necessarily compact, and in such a case, the Krein-Mil'man generates the state space. We show that states...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2019
    • •
  • Jimp
    • •
  • Link
Result

The dynamical problem for a non self-adjoint Hamiltonian

We review some recent results of the so-called quasi-hermitian quantum mechanics, with particular focus on the quantum dynamics both in the Schrodinger and in the Heisenberg representations. The role of Krein spaces is also discusse...

BE - Teoretická fyzika

  • 2012
    • •
  • D
Result

The equivalence between CPCP and strong regularity under Krein-Milman property

Banach space, under Krein-Milman property for C, one has the equivalence betweenWe obtain a result in the spirit of the well-known W. Schachermayer and H. P. Rosenthal research about the equivalence between Radon-Nikodym and Kr...

Pure mathematics

  • 2024
    • •
  • Jimp
    • •
  • Link
Result

Convexity and w*-compactness in Banach spaces

We construct examples of bounded sets M .. X, such that Mw* .. X+1/2Bx*, but coMw* .. X+.alpha.Bx** for any .alpha. < 1. These examples show that the previous results of the authors on quantitative versions of Kreinďs theorem are optimal....

BA - Obecná matematika

  • 2004
    • •
  • Jx
Result

Book Symposium: Kevin Krein's Philosophy and Nature Sports

This is a book symposium on Kevin Krein's Philosophy and Nature Sports. Gunnar Breivik, Jim Parry and Irena Martinkova, and Rebekah Humphreys provide Krein. The discussion covers a broad range of topics. These include the defin...

Sport and fitness sciences

  • 2023
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  • Jimp
    • •
  • Link
Result

Krein-von Neumann and Friedrichs extensions for second order operators on time scales

We consider an operator defined by the second order Sturm-Liouville equation on an unbounded time scale. For such an operator we give characterisations of the domains of its Krein-von Neumann and Friedrichs extensions by using the recessive ...

BA - Obecná matematika

  • 2011
    • •
  • Jx
Result

An indefinite Laplacian on a rectangle

We investigate a nonelliptic differential expression on a rectangular domain in the plane. The seemingly simple problem of associating a self-adjoint operator with the differential expression in the Hilbert space of square-integrable functio...

Pure mathematics

  • 2018
    • •
  • Jimp
    • •
  • Link
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