On a generalized concept of order relations on B(H)
-
Gregor Dolinar
and
Janko Marovt
Abstract
Let H be a Hilbert space and B(H) the set of all bounded linear operators on H. In the paper we consider the generalized concept of order relations on B(H) which was proposed by Šemrl and which covers the star partial order, the left-star partial order, the right-star partial order, and the minus partial order. We also connect this concept with the sharp partial order.
Acknowledgement
The authors are thankful to the anonymous referee for helpful comments and suggestions.
References
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© 2018 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- On the number of cycles in a graph
- Characterization of posets for order-convergence being topological
- Classification of posets using zero-divisor graphs
- On a generalized concept of order relations on B(H)
- A study of stabilizers in triangle algebras
- Revealing two cubic non-residues in a quadratic field locally
- Codensity and stone spaces
- Big mapping class groups are not acylindrically hyperbolic
- Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations
- Starlike and convex functions with respect to symmetric conjugate points involving conical domain
- Summations of Schlömilch series containing anger function terms
- Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals
- Nuclear operators on Cb(X, E) and the strict topology
- More on cyclic amenability of the Lau product of Banach algebras defined by a Banach algebra morphism
- Matrix generalized (θ, ϕ)-derivations on matrix Banach algebras
- Nonlinear ∗-Jordan triple derivations on von Neumann algebras
- Addendum to “A sequential implicit function theorem for the chords iteration”, Math. Slovaca 63(5) (2013), 1085–1100
- Comparison of density topologies on the real line
- Rational homotopy of maps between certain complex Grassmann manifolds
- Examples of random fields that can be represented as space-domain scaled stationary Ornstein-Uhlenbeck fields
- Rothe’s method for physiologically structured models with diffusion
- Zero-divisor graphs of lower dismantlable lattices II
- An identity of symmetry for the degenerate Frobenius-Euler Polynomials
