شماره ركورد كنفرانس :
4338
عنوان مقاله :
Some Results on Compact Operators on a Special Kind of Hilbert Spaces
پديدآورندگان :
Fashandi Massoumeh fashandi@um.ac.ir Department of Statistics, Ferdowsi University
of Mashhad, Mashhad, Iran;
كليدواژه :
Hilbert space on the field of quaternions , Compact Operator , Spectral Theorem
عنوان كنفرانس :
سومين سمينار ملي نظريه عملگرها و كاربردهاي آن
چكيده فارسي :
In this paper, a Hilbert space on the non commutative field of quaternions is introduced and similar results to the complex Hilbert spaces are presented. Compact operators on these spaces are defined and few properties of them including spectral theorem are studied.
