The spectrum of a C* -algebra of pseudodifferential operators with discontinuous symbols on a closed manifold

1989 ◽  
pp. 181-233
Author(s):  
B. A. Plamenevskii
Keyword(s):  
Pseudodifferential Operators ◽  
Closed Manifold ◽  
C Algebra

scholarly journals Boundedness of pseudodifferential operators of a C*-algebra-valued symbol

2005 ◽  
Vol 135 (6) ◽  
pp. 1279-1286
Author(s):  
Marcela I. Merklen
Keyword(s):  
Pseudodifferential Operator ◽  
Pseudodifferential Operators ◽  
Symmetric Matrix ◽  
C Algebra ◽  
Decreasing Functions ◽  
Derivatives Of ◽  
Skew Symmetric Matrix

Let us consider the set SA(Rn) of rapidly decreasing functions G: Rn → A, where A is a separable C*-algebra. We prove a version of the Calderón–Vaillancourt theorem for pseudodifferential operators acting on SA(Rn) whose symbol is A-valued. Given a skew-symmetric matrix, J, we prove that a pseudodifferential operator that commutes with G(x + JD), G ∈ SA(Rn), is of the form F(x − JD), for F a C∞-function with bounded derivatives of all orders.

Pseudodifferential operators on differential groupoids

1999 ◽  
Vol 189 (1) ◽  
pp. 117-152 ◽  
Author(s):  
Victor Nistor ◽  
Alan Weinstein ◽  
Ping Xu
Keyword(s):  
Pseudodifferential Operators

A new method for approximation of closed convex subsets of B(H)

Filomat ◽  
2017 ◽  
Vol 31 (19) ◽  
pp. 6005-6013
Author(s):  
Mahdi Iranmanesh ◽  
Fatemeh Soleimany
Keyword(s):  
Best Approximation ◽  
Numerical Range ◽  
New Method ◽  
C Algebra ◽  
Convex Subsets

In this paper we use the concept of numerical range to characterize best approximation points in closed convex subsets of B(H): Finally by using this method we give also a useful characterization of best approximation in closed convex subsets of a C*-algebra A.

scholarly journals The Poincaré half-space of a C$^*$-algebra

2019 ◽  
Vol 35 (7) ◽  
pp. 2187-2219
Author(s):  
Esteban Andruchow ◽  
Gustavo Corach ◽  
Lázaro Recht
Keyword(s):  
Half Space ◽  
C Algebra
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