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  1. International Journal of Theoretical Physics
  2. International Journal of Theoretical Physics : Volume 49
  3. International Journal of Theoretical Physics : Volume 49, Issue 12, December 2010
  4. Absolute Continuity in Noncommutative Measure Theory
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International Journal of Theoretical Physics : Volume 56
International Journal of Theoretical Physics : Volume 55
International Journal of Theoretical Physics : Volume 54
International Journal of Theoretical Physics : Volume 53
International Journal of Theoretical Physics : Volume 52
International Journal of Theoretical Physics : Volume 51
International Journal of Theoretical Physics : Volume 50
International Journal of Theoretical Physics : Volume 49
International Journal of Theoretical Physics : Volume 49, Issue 12, December 2010
The 9th Biennial Meeting of the International Quantum Structures Association
Doc. RNDr. František Kôpka, CSc. 22.2.1953–28.4.2008
Interpreting Quantum Particles as Conceptual Entities
Quantum Experimental Data in Psychology and Economics
Backpropagation Training in Adaptive Quantum Networks
Some Properties of Transforms in Cultural Theory
Correlated Knowledge: an Epistemic-Logic View on Quantum Entanglement
Interpreting Quantum Parallelism by Sequents
Unsharpness, Naimark Theorem and Informational Equivalence of Quantum Observables
Pseudo-Effect Algebras as Total Algebras
States as Morphisms
Some Remarks on the Notion of Separability Within the Creation Discovery View
On the Orthocomplementation of State–Property–Systems of Contextual Systems
No Labeling Quantum Mechanics of Indiscernible Particles
On Probability Domains
Embedding Quantum Mechanics Into a Broader Noncontextual Theory: A Conciliatory Result
Sequential Product of Quantum Effects: An Overview
On the Variety Generated by Bounded Pseudo-BCK-Algebras
Absolute Continuity in Noncommutative Measure Theory
Spectral Automorphisms in Quantum Logics
On Definition of Skew Frames
Towards Quantum Computational Logics
Order Topology and Frink Ideal Topology of Effect Algebras
Quantum Stochastic Integrals as Operators
Remarks on Effect Algebras
Fuzzy Space-Time Geometry and Particle’s Dynamics
Marginality and Triangle Inequality
Characterization of Spaces of Filtering States
Compactly Generated de Morgan Lattices, Basic Algebras and Effect Algebras
Which O-commutative Basic Algebras Are Effect Algebras
Comparative Similarity in Branching Space-Times
Arbiter as the Third Man in Classical and Quantum Games
When Are Quantum Systems Operationally Independent?
A Hilbert Space Representation of Generalized Observables and Measurement Processes in the ESR Model
Automorphism Groups of Small (3,3)-homogeneous Logics
Common Generalizations of Orthocomplete and Lattice Effect Algebras
International Journal of Theoretical Physics : Volume 49, Issue 11, November 2010
International Journal of Theoretical Physics : Volume 49, Issue 10, October 2010
International Journal of Theoretical Physics : Volume 49, Issue 9, September 2010
International Journal of Theoretical Physics : Volume 49, Issue 8, August 2010
International Journal of Theoretical Physics : Volume 49, Issue 7, July 2010
International Journal of Theoretical Physics : Volume 49, Issue 6, June 2010
International Journal of Theoretical Physics : Volume 49, Issue 5, May 2010
International Journal of Theoretical Physics : Volume 49, Issue 4, April 2010
International Journal of Theoretical Physics : Volume 49, Issue 3, March 2010
International Journal of Theoretical Physics : Volume 49, Issue 2, February 2010
International Journal of Theoretical Physics : Volume 49, Issue 1, January 2010
International Journal of Theoretical Physics : Volume 48
International Journal of Theoretical Physics : Volume 47
International Journal of Theoretical Physics : Volume 46
International Journal of Theoretical Physics : Volume 45
International Journal of Theoretical Physics : Volume 44
International Journal of Theoretical Physics : Volume 43
International Journal of Theoretical Physics : Volume 42
International Journal of Theoretical Physics : Volume 41
International Journal of Theoretical Physics : Volume 40
International Journal of Theoretical Physics : Volume 39
International Journal of Theoretical Physics : Volume 38
International Journal of Theoretical Physics : Volume 37
International Journal of Theoretical Physics : Volume 36

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Absolute Continuity in Noncommutative Measure Theory

Content Provider Springer Nature Link
Author Hamhalter, Jan
Copyright Year 2009
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 weak$^{*}$-continuous. Further it is shown that the absolute value preserves the Vitali-Hahn-Saks property if, and only if, the underlying algebra is finite. This result improves classical results on weak compactness of sets of noncommutative measures.
Starting Page 3139
Ending Page 3145
Page Count 7
File Format PDF
ISSN 00207748
Journal International Journal of Theoretical Physics
Volume Number 49
Issue Number 12
e-ISSN 15729575
Language English
Publisher Springer US
Publisher Date 2009-07-30
Publisher Place Boston
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Von Neumann algebras Absolute continuity of operators Vitali-Hahn-Saks Theorem Theoretical, Mathematical and Computational Physics Elementary Particles, Quantum Field Theory Quantum Physics Physics
Content Type Text
Resource Type Article
Subject Physics and Astronomy Mathematics
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