Real Operator Spaces, Real Operator Algebra and Real Jordan Operator Algebras
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The theory of operator spaces has been intensively studied with spaces over the complex field. In this study, we would like to investigate corresponding theory on spaces over the real field which included real operator spaces, real operator algebras and real Jordan operator algebras.
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Wang, Zhenhua 1988- (2019-05)An operator algebra is a closed subalgebra of B(H), for a complex Hilbert space H. By a Jordan operator algebra, we mean a norm-closed Jordan subalgebra of B(H), namely a norm-closed subspace closed under Jordan product a ...
Suri, Nishant 1986-; 0000-0001-6516-9585 (2017-05)Naimark’s problem asks if a C*-algebra with exactly one irreducible representation up to unitary equivalence is isomorphic to K(H), the algebra of compact operators on some Hilbert space H. A C*-algebra that satisfies the ...
Bearden, Clifford Alexander 1988- (2017-05)A Sigma*-algebra is a concrete C*-algebra that is sequentially closed in the weak operator topology. In this thesis, we study an appropriate class of C*-modules over Sigma*-algebras analogous to the class of W*-modules ...