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Title of Journal: Int J Theor Phys

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Abbravation: International Journal of Theoretical Physics

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Springer US

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DOI

10.1007/bf03277921

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1572-9575

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Absolute Continuity in Noncommutative Measure Theo

Authors: Jan Hamhalter
Publish Date: 2009/07/30
Volume: 49, Issue: 12, Pages: 3139-3145
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Abstract

Recent results on absolute continuity of Banach space valued operators and convergence theorems on operator algebras are deepened and summarized It is shown that absolute continuity of an operator T on a von Neumann algebra M with respect to a positive normal functional ψ on M is not implied by the fact that the null projections of ψ are the null projections of T However it is proved that the implication above is true whenever M is finite or T is weakcontinuous Further it is shown that the absolute value preserves the VitaliHahnSaks property if and only if the underlying algebra is finite This result improves classical results on weak compactness of sets of noncommutative measures

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Other Papers In This Journal:
  1. Incompatibility of Standard Completeness and Quantum Mechanics
  2. Efficient and Economic Schemes for Remotely Preparing a Four-Qubit Cluster-Type Entangled State
  3. Entanglement Entropy in an Opened Antiferromagnetic Heisenberg Chain with Alternating Interaction
  4. Spin Squeezing in Superposition of Four-Qubit Symmetric State and W States
  5. Corrected Hawking Temperature in Snyder’s Quantized Space-time
  6. Local Copying of d × d -dimensional Partially Entangled Pure States
  7. Non-Differentiable Mechanical Model and Its Implications
  8. Bosonization and Fermionization of the Superstring Oscillators
  9. Splitting an Arbitrary Two-Qubit State via a Genuine Six-Qubit Entangled State
  10. Quantum Tasks Using Symmetric Cluster States
  11. Quantum Tasks Using Symmetric Cluster States
  12. Precision Mass Sensing by Tunable Double Optomechanically Induced Transparency with Squeezed Field in a Coupled Optomechanical System
  13. The Effect of Impurities in a Three-Qubit Ising Spin Model
  14. Dyonic String-Like Solution in a Non-Abelian Gauge Theory with Two Potentials
  15. QCD Ghost Dark Energy in RS II Braneworld with Bulk-Brane Interaction
  16. Thermodynamics of the Bulk Viscous Cosmological Fluid in Presence of the Particle Creation Pressure
  17. Dynamics of Relativistic Solitons Due to Pseudo Sine-Gordon Equation
  18. The Lattice and Simplex Structure of States on Pseudo Effect Algebras
  19. Comment on: Supervisory Asymmetric Deterministic Secure Quantum Communication
  20. CPT Groups of Higher Spin Fields
  21. Quantum Information in the Frame of Coherent States Representation
  22. Gravitational Aharonov-Bohm Effect
  23. Non-Classical Traveling Solutions in a Nonlinear Klein Gordon Model
  24. The Quantum and Klein-Gordon Oscillators in a Non-commutative Complex Space and the Thermodynamic Functions
  25. The Quantum and Klein-Gordon Oscillators in a Non-commutative Complex Space and the Thermodynamic Functions
  26. The Observer Determination
  27. Viability of Noether Symmetry of F ( R ) Theory of Gravity
  28. Late Time Acceleration in Scalar-Tensor Theory with GB Interaction
  29. Classification of Cosmic Scale Factor via Noether Gauge Symmetries
  30. Quantum Spin Hall Effect in a Triple-Well Quantum Dot System
  31. Comment on “Concrete Representation and Separability Criteria for Symmetric Quantum State”
  32. Minimal Length and the Quantum Bouncer: A Nonperturbative Study
  33. Einstein Gravity in Almost Kähler Variables and Stability of Gravity with Nonholonomic Distributions and Nonsymmetric Metrics
  34. True Neutrality as a New Type of Flavour
  35. Geometric Phase of Quantum Dots in the Time-Dependent Isotropic Magnetic Field
  36. Classical Model of Confinement
  37. Applications of the Stroboscopic Tomography to Selected 2-Level Decoherence Models
  38. New Properties of the Wigner Function of the Tripartite Entangled State
  39. Description of Phase Transition in a Black Hole with Conformal Anomaly in the Ehrenfest’s Scheme
  40. Two-Fluid Cosmological Models in Kaluza-Klein Space Time
  41. Separability Criterion for Arbitrary Multipartite Pure State Based on the Rank of Reduced Density Matrix
  42. Kantowski-Sachs Universe Filled with Perfect Fluid in f ( R , T ) Theory of Gravity
  43. Controlled Teleportation of an Arbitrary Three-Qubit State by Using Two Four-Qubit Entangled States
  44. The Local Unitary Equivalence of Multipartite Pure States
  45. Stochastic Perturbation of Power Law Optical Solitons
  46. Equivalence Between Two Different Field-Dependent BRST Formulations
  47. Bouncing Universe and Phantom Crossing in Modified Gravity Coupled with Weyl Tensor
  48. Global-Local Algebraic Quantization of a Two-Dimensional Non-Hermitian Potential
  49. A Braneworld Dark Energy Model with Induced Gravity and the Gauss-Bonnet Effect
  50. Heat-to-Work Conversion by Exploiting Full or Partial Correlations of Quantum Particles
  51. An Alternative Map from a 2 + 1 Dimensional Charged Dirac Oscillator in the Background of a Uniform Perpendicular Magnetic Field to a Quantum Optics Model
  52. Higher Dimensional Cosmology with Some Dark Energy Models in Emergent, Logamediate and Intermediate Scenarios of the Universe
  53. Perfect-Fluid Sources for the Levi-Civita Metric II
  54. Stochastic Motion of Test Particle Implies That G Varies with Time
  55. Efficient Entanglement Concentration for Arbitrary Less-Entangled N -Atom GHZ State
  56. Time and Spacetime: The Crystallizing Block Universe
  57. Dark Energy in Weyl- f ( R ) Gravity
  58. On Verification of the Non-Generational Conjectural-Derivation of First Class Constraints: HP Monopole’s Field Case
  59. Dark Energy in Weyl- f ( R ) Gravity
  60. The Transformation Properties at the Quantum Level in Field Theories for a Gauge-Invariant System with a Higher-Order Lagrangian
  61. Time Dependence of Joint Entropy of Oscillating Quantum Systems
  62. Coherent States of Quantum Free Particle on the Spherical Space
  63. Quantum Computation and Entangled-State Generation Through Photon Emission and Absorption Processes in Separated Cavities
  64. Weak Measurements Destroy Too Much Quantum Correlation
  65. Quantification of Quantum Entanglement in a Multiparticle System of Two-Level Atoms Interacting with a Squeezed Vacuum State of the Radiation Field
  66. Magnetic Flux Quantization of the Landau Problem
  67. Generalised Split Octonions and Their Transformation in SO(7) Symmetry
  68. On the Effects of Curvature on the Confinement of a Neutral Particle to a Quantum Dot Induced by Non-inertial Effects
  69. Creation of Scalar and Dirac Particles in Asymptotically Flat Robertson-Walker Spacetimes
  70. Space-Time Curvature Induced by Quantum Vacuum Fluctuations as an Alternative to Dark Energy
  71. The Electric Charge Confining in Polyakov’s Compact QED in R 4
  72. A General Method of Selecting Quantum Channel for Bidirectional Quantum Teleportation
  73. Controlled Dense Coding with Six-particle Nonmaximal Graph State
  74. Hawking Radiation of Spin-3/2 Particles from Kerr Black Hole
  75. Performance Improvement of Two-way Quantum Key Distribution by Using a Heralded Noiseless Amplifier
  76. Hawking Radiation of the Charged Particle via Tunneling from the Kaluza-Klein Black Hole
  77. Geometric Measure of Quantum Discord for Entanglement of Total Dirac Fields in Noninertial Frames
  78. Two-Photon Entanglement in a Two-Mode Supersymmetric Model
  79. Bounded Solutions of the Dirac Equation with a PT-symmetric Kink-Like Vector Potential in Two-Dimensional Space-Time
  80. Archaic Universe and Cosmological Model: “Big-Bang” as Nucleation by Vacuum
  81. Bianchi Type V Viscous Fluid Cosmological Models with Varying Cosmological Term
  82. Quantum Gates and Hamilton Operators
  83. Dynamic Evolution of Squeezing Maintenance
  84. Optimal Measurement Basis for Economical Phase-covariant Telecloning with Partially Entangled States
  85. Quantum State Transfer Via a Two-Qubit Heisenberg XYZ Spin Model
  86. Area Spectrum of Black Holes with Quantum Corrections via Periodicity
  87. Glafka 2004: Spacetime Topology from the Tomographic Histories Approach
  88. Statistical Entropy of Vaidya-de Sitter Black Hole to All Orders in Planck Length
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