Riesz projections for a class of Hilbert space operators
β Scribed by B.P. Duggal
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 212 KB
- Volume
- 407
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
Abrtract. Sufficient conditions are given such that the product T1T2 of two unbounded operators in Hilbert spaces is essentially selfadjoint and that the nonzero numbers in the essential spectrum of the closure of TlT2 coincide with the nonzero numbers in the essential spectrum of T2T1. If the essen
## Abstract The Dirac operators equation image with __L__^2^βpotentials equation image considered on [0, Ο] with periodic, antiperiodic or Dirichlet boundary conditions (__bc__), have discrete spectra, and the Riesz projections equation image are wellβdefined for |__n__ | β₯ __N__ if __N__ is
## Abstract In this paper we study linear fractional relations defined in the following way. Let βοΈ~__i__~ and βοΈ~__i__~ ^β²^, __i__ = 1, 2, be Hilbert spaces. We denote the space of bounded linear operators acting from βοΈ~__j__~ to βοΈ~__i__~ ^β²^ by __L__ (βοΈ~__j__~ , βοΈ~__i__~ ^β²^). Let __T__ β
It was proved by the present author (see [2], theorem 3) that a Riesz space L is hyper-archimedean (i.e., L/A is Archimedean for every ideal A in L) if and only if the distributive lattice &p (L) of all principal ideals in L, partially ordered by inclusion, is a Boolean ring (and hence a Boolean alg