Singular locally scalar representations of quivers in Hilbert spaces and separating functions

2004 ◽  
Vol 56 (6) ◽  
pp. 947-963
Author(s):  
I. K. Redchuk ◽  
A. V. Roiter
Keyword(s):  
Hilbert Spaces ◽  
Representations Of Quivers

Orthoscalar representations of quivers in the category of Hilbert spaces

2007 ◽  
Vol 145 (1) ◽  
pp. 4793-4804 ◽  
Author(s):  
S. A. Kruglyak ◽  
L. A. Nazarova ◽  
A. V. Roiter
Keyword(s):  
Hilbert Spaces ◽  
Representations Of Quivers

Unbounded Linear Operators

2018 ◽  
Author(s):  
D. E. Edmunds ◽  
W. D. Evans
Keyword(s):  
Hilbert Spaces ◽  
Linear Operators ◽  
Von Neumann ◽  
Limit Circle ◽  
Sectorial Operators ◽  
Closed Operators ◽  
The Stability ◽  
Symmetric Operators ◽  
Unbounded Linear Operators ◽  
Special Case

This chapter is concerned with closable and closed operators in Hilbert spaces, especially with the special classes of symmetric, J-symmetric, accretive and sectorial operators. The Stone–von Neumann theory of extensions of symmetric operators is treated as a special case of results for compatible adjoint pairs of closed operators. Also discussed in detail is the stability of closedness and self-adjointness under perturbations. The abstract results are applied to operators defined by second-order differential expressions, and Sims’ generalization of the Weyl limit-point, limit-circle characterization for symmetric expressions to J-symmetric expressions is proved.

Sign in / Sign up

Export Citation Format

Share Document