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  1. No Access

    Article

    Preservation of Order and Orthogonality on Preduals of Jordan Algebras

    We study linear maps between preduals of JBW-algebras that preserve orthogonal decompositions of functionals. We generalize and strengthen results of Bunce and Wright (Pac J Math 158(2):265–272, 1993) obtained...

    E. Chetcuti, J. Hamhalter in Results in Mathematics (2024)

  2. No Access

    Article

    Operational Independence, Faithful Maps and Minimal Tensor Products

    We characterize the minimal tensor product of two \(C^{\ast}\) -algebras in terms of extension prop...

    J. Hamhalter, E. Turilova in Lobachevskii Journal of Mathematics (2023)

  3. No Access

    Article

    Star Order and Partial Isometries in \(\boldsymbol{C}^{\mathbf{\ast}}\) -Algebras

    We study the poset of partial isometries in \(C^{\ast}\) -algebras endowed with the ...

    J. Hamhalter, E. Turilova in Lobachevskii Journal of Mathematics (2021)

  4. No Access

    Article

    Determinacy of Functionals and Lyapunov Theorem for Jordan Triple Structures and von Neumann Algebras

    In this note we apply noncommutative versions of Lyapunov convexity theorem to obtaning new results in comparison theory of states and functional on von Neumann algebras and

    J. Hamhalter, E. Turilova in Lobachevskii Journal of Mathematics (2020)

  5. No Access

    Article

    Completeness of Inner Product Spaces Associated with Functional on Jordan Structures

    We show that a normal functional \(\varphi\) on a \(JBW^{\ast}\) triple induces, via Gelfand–Naimark–Segal like construction, a complete inner product space if and only if \(\varphi\) is a finite convex c...

    J. Hamhalter, E. Turilova in Lobachevskii Journal of Mathematics (2020)

  6. No Access

    Article

    Linearity of Maps on Banach and Operator Algebras

    The paper deals with quasi linear maps on two by two matrices over Banach and \(C^{\ast}\) -algebras. Let \(\varphi:A\to X\) be a homogeneous map between Banach algebra \(A\) and a linear space \(X\) . L...

    E. Turilova, J. Hamhalter in Lobachevskii Journal of Mathematics (2020)

  7. No Access

    Article

    Choquet Order and Jordan Morphisms of Operator Algebras

    We show that ordinal isomorphisms of orthogonal measures on state spaces of operator algebras equipped with the Choquet order are generated by Jordan isomorphisms of associated von Neumann algebras. This yield...

    E. A. Turilova, J. Hamhalter in Journal of Mathematical Sciences (2019)

  8. No Access

    Article

    Choquet Order and Jordan Maps

    J. Hamhalter, E. Turilova in Lobachevskii Journal of Mathematics (2018)

  9. No Access

    Article

    Spectral order on AW*-algebras and its preservers

    We study the spectral order on the set of positive contractions in an AW*-algebra. We introduce the concept of lattice theoretic center of the resulting spectral lattice and show that it coincides with the algebr...

    J. Hamhalter, E. Turilova in Lobachevskii Journal of Mathematics (2016)

  10. Article

    C*-Independence, Product States and Commutation

    Let D be a unital C*-algebra generated by C*-subalgebras A and B possessing the unit of D. Motivated by the commutation problem of C*-independent algebras arising in quantum field theory, the interplay between co...

    L. J. Bunce, J. Hamhalter in Annales Henri Poincaré (2004)

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  11. No Access

    Article

    De Morgan Property for Effect Algebras of von Neumann Algebras

    It is shown that the unit interval of a von Neumann algebra is a Sum Brouwer–Zadeh algebra when equipped with another unary operation sending each element to the complement of its range projection. The main re...

    G. Cattaneo, J. Hamhalter in Letters in Mathematical Physics (2002)

  12. No Access

    Article

    On the de Morgan Property of the Standard Brouwer–Zadeh Poset

    The standard Brouwer–Zadeh poset Σ(H) is the poset of all effect operators on a Hilbert space H, naturally equipped with two types of orthocomplementation. In develo** the theory, the question occured if (wh...

    G. Cattaneo, J. Hamhalter, P. Pták in Foundations of Physics (2000)

  13. No Access

    Article

    Jauch-Piron states on von Neumann algebras

    L. J. Bunce, J. Hamhalter in Mathematische Zeitschrift (1994)