Extensive development of noncommutative geometry requires elaboration of the theory of differential Banach \*-algebras, that is, dense \*-subalgebras of C\*-algebras whose properties are analogous to the properties of algebras of differentiable functions. We consider a specific class of such algebra
Finite symmetric convolution operators and singular symmetric differential operators
β Scribed by Paul E Wright
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 428 KB
- Volume
- 148
- Category
- Article
- ISSN
- 0022-247X
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We introduce a calculus of singular pseudodifferential operators (SPOs) depending on wavelength e and use them to solve three different types of singular quasilinear hyperbolic systems. Such systems arise in nonlinear geometric optics and also, for example, in the study of incompressible limits and
Symmetric operator realizations of ordinary regular differential expressions are characterized explicitly by boundary conditions. For any such operator which is bounded below, the boundary condition determining its Friedrichs extension is identified. O 1995 Academic Press, Inc.
## Abstract This relationship between the weak and strong bounded commutants of a symmetric operator __S__ and the commutant of a generalized spectral family (in Naimark's sense) of __S__ is studied. A characterization of the existence of selfβadjoint extensions of __S__ via von Neumann subalgebras
Given a partition \*=(\* 1 , \* 2 , ..., \* k ), let \* rc =(\* 2 &1, \* 3 &1, ..., \* k &1). It is easily seen that the diagram \*Γ\* rc is connected and has no 2\_2 subdiagrams, we shall call it a ribbon. To each ribbon R, we associate a symmetric function operator S R . We may define the major in