• R.AARTHIPRIYA
• M.ANITHA
• P.Priyanka

We now proced to give a more abstract from of the spectral theorem ,based on the representation theorem for commutative B*-algebras.A spectral measure on a Hilbert space H is a mapping and from the σ-algebra of boral measurable subsets of C into L(H).there are types of Hilbert space the finite dimensional.A normed algebra is a normed vector space and an algebra.The spectral theorem of the continuous functional calculus to normal operators.

Spectral, complex, product, operators, banach space, bounded operators, function, linear algebra, continuous , normal operators.

"SPECTRAL THEORY IN HILBERT SPACE", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 11, page no.197-202, November-2018, Available :http://www.jetir.org/papers/JETIR1811927.pdf

"SPECTRAL THEORY IN HILBERT SPACE", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 11, page no. pp197-202, November-2018, Available at : http://www.jetir.org/papers/JETIR1811927.pdf