## Abstract

We seek the generalization of the Gelfand-Naimark theorems for locally C*-algebras. Precisely, if A is a unital commutative locally C*-algebra, then it is shown that A is *-isomorphic (topologically and algebraically) to C({Delta}). Further, if A is any locally C*-algebra, then it is realized as a closed *-subalgebra of some L(H) up to a topological algebraic *-isomorphism. Also, a brief exposition of the Gelfand-Naimark-Segal construction is given and some of its consequences are discussed. (author). 16 refs.

## Citation Formats

Mohammad, N, and Somasundaram, S.
Characterizations of locally C*-algebras.
IAEA: N. p.,
1991.
Web.

Mohammad, N, & Somasundaram, S.
Characterizations of locally C*-algebras.
IAEA.

Mohammad, N, and Somasundaram, S.
1991.
"Characterizations of locally C*-algebras."
IAEA.

@misc{etde_10113338,

title = {Characterizations of locally C*-algebras}

author = {Mohammad, N, and Somasundaram, S}

abstractNote = {We seek the generalization of the Gelfand-Naimark theorems for locally C*-algebras. Precisely, if A is a unital commutative locally C*-algebra, then it is shown that A is *-isomorphic (topologically and algebraically) to C({Delta}). Further, if A is any locally C*-algebra, then it is realized as a closed *-subalgebra of some L(H) up to a topological algebraic *-isomorphism. Also, a brief exposition of the Gelfand-Naimark-Segal construction is given and some of its consequences are discussed. (author). 16 refs.}

place = {IAEA}

year = {1991}

month = {Aug}

}

title = {Characterizations of locally C*-algebras}

author = {Mohammad, N, and Somasundaram, S}

abstractNote = {We seek the generalization of the Gelfand-Naimark theorems for locally C*-algebras. Precisely, if A is a unital commutative locally C*-algebra, then it is shown that A is *-isomorphic (topologically and algebraically) to C({Delta}). Further, if A is any locally C*-algebra, then it is realized as a closed *-subalgebra of some L(H) up to a topological algebraic *-isomorphism. Also, a brief exposition of the Gelfand-Naimark-Segal construction is given and some of its consequences are discussed. (author). 16 refs.}

place = {IAEA}

year = {1991}

month = {Aug}

}