MULTINORMED W*-ALGEBRAS AND UNBOUNDED OPERATORS

Download

index.pdf

Date

2012-12-01

Author

Dosi, Anar

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

145
views

0
downloads

In this paper we investigate multinormed W*-algebras in terms of the central topologies of W*-algebras. The main result asserts that each multinormed W*-algebra can be realized as a local von Neumann algebra on a certain domain in a Hilbert space. Moreover, it admits the predual (unique up to an isometry), which is the l(1)-normed space. In the normed case the assertion is reduced to the known Sakai theorem.

Subject Keywords

Multinormed W*-algebra, Central topology, Unbounded operators, l(1)-normed space

URI

https://hdl.handle.net/11511/63943

Journal

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

DOI

https://doi.org/10.1090/s0002-9939-2012-11358-9

Collections

Engineering, Article

Suggestions

OpenMETU
Core

Noncommutative affine spaces and Lie-complete rings Dosi, Anar (2015-02-01) In this paper, we investigate the structure sheaves of an (infinite-dimensional) affine NC-space A(nc)(x) affine Lie-space A(lich)(x), and their nilpotent perturbations A(nc,q)(x) and A(lich),(x)(q) respectively. We prove that the schemes A(nc)(x) and A(lich)(x) are identical if and only if x is a finite set of variables, that is, when we deal with finite-dimensional noncommutative affine spaces. For each (Zariski) open subset U subset of X = Spec(C vertical bar x vertical bar), we obtain the precise descri...
Affine Osserman connections and their Riemann extensions Garcia-Rio, E; Kupeli, DN; Vazquez-Abal, ME; Vazquez-Lorenzo, R (Elsevier BV, 1999-09-01) Osserman property is studied for affine torsion-free connections with special attention to the 2-dimensional case. As an application, examples of nonsymmetric and even not locally homogeneous Osserman pseudo-Riemannian metrics are constructed on the cotangent bundle of a manifold equipped with a torsionfree connection by looking at their Riemann extensions. Also, timelike and spacelike Osserman conditions are analyzed for general pseudo-Riemannian manifolds showing that they are equivalent.
Commutators, Lefschetz fibrations and the signatures of surface bundles Endo, H; Korkmaz, Mustafa; Kotschick, D; Ozbagci, B; Stipsicz, A (Elsevier BV, 2002-09-01) We construct examples of Lefschetz fibrations with prescribed singular fibers. By taking differences of pairs of such fibrations with the same singular fibers, we obtain new examples of surface bundles over surfaces with nonzero signature. From these we derive new upper bounds for the minimal genus of a surface representing a given element in the second homology of a mapping class group.
On endomorphisms of surface mapping class groups Korkmaz, Mustafa (Elsevier BV, 2001-05-01) In this paper, we prove that every endomorphism of the mapping class group of an orientable surface onto a subgroup of finite index is in fact an automorphism.
Quantum systems and representation theorem Dosi, Anar (2013-09-01) In this paper we investigate quantum systems which are locally convex versions of abstract operator systems. Our approach is based on the duality theory for unital quantum cones. We prove the unital bipolar theorem and provide a representation theorem for a quantum system being represented as a quantum -system.

Citation Formats

A. Dosi, “MULTINORMED W*-ALGEBRAS AND UNBOUNDED OPERATORS,” PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, pp. 4187–4202, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63943.