Ideals of compact operators on Hilbert space.
نویسندگان
چکیده
منابع مشابه
Compact Operators on Hilbert Space
Among all linear operators on Hilbert spaces, the compact ones (defined below) are the simplest, and most imitate the more familiar linear algebra of finite-dimensional operator theory. In addition, these are of considerable practical value and importance. We prove a spectral theorem for self-adjoint operators with minimal fuss. Thus, we do not invoke broader discussions of properties of spectr...
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1. In this note we first generalize a result of P. R. Halmos [3] concerning commutators of (bounded ) operators on Hubert space. Then we obtain some partial results on a problem of commutators in von Neumann algebras which is closely related to another problem raised by Halmos in [4]. Let 3C be any (infinite-dimensional) Hubert space, and let £(3C) denote the algebra of all bounded operators on...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1971
ISSN: 0026-2285
DOI: 10.1307/mmj/1029000743