[1] M.B. Asadi, Z. Hassanpour-Yakhdani and S. Shamloo, A locally convex version of Kadison's representation theorem,
Positivity, (2020), 1-12.
[2] M.B. Asadi, Z. Hassanpour-Yakhdani and S. Shamloo, Unbounded operator algebras, Annals of Functional Analysis,
12(2) (2021), 1-15.
[3] W.B. Arveson, Subalgebras of $C^{\ast}$-algebras, Acta Mathematica, 123 (1969), 141-224.
[4] M.D. Choi and E.G. Effros, Injectivity and operator spaces, J. Func. Anal., 24 (1997), 156-219.
[5] A. Dosiev, A representation theorem for local operator spaces, Funct. Anal. its Appl., 41 (2007), 306-307.
[6] A. Dosi, Local operator spaces, unbounded operators and multinormed $ C^{\ast} $-algebras, J. Funct. Anal., 255
(2008), 1724-1760.
[7] A. Dosiev, Quantum systems and representation theorem, Positivity, 17 (2013), 841-861.
[8] A. Dosiev, Quantum system structures of quantum spaces and entanglement breaking maps, Sbornik Math.,
210(7) (2019), 21-93.
[9] A. Inoue, locally $C^{\ast}$-algebra, Mem. Fac. Sci. Kyushu Univ. Ser. A, 25 (1971), 197-235.
[10] R.V. Kadison, A Representation Theory for Commutative Topological Algebra, Mem. Amer. Math. Soc., no. 7, 1951.
[11] E. Kirchberg and S. Wassermann, $C^{\ast}$-algebras generated by operator systems, J. Funct. Anal., 155(2) (1998),
324-351.
[12] V. Paulsen, \textit{Completely Bounded Maps and Operator Algebras}, Vol. 78, Cambridge University Press, 2002.
[13] V.I. Paulsen and M. Tomford, Vector spaces with an order unit, Indi. Univ. Math. J., 58 (2009), 1319-1359.
[14] N.C. Philips, Inverse limit of $C^{\ast}$-algebras, J. Operator Theory, 19 (1988), 159-195.
[15] Z. Sebesty\'en, Every $C^{\ast}$-seminorm is automatically submultiplicative, Periodica Mathematica Hungrica, 10
(1979), 1-8.
)