Spaces of Operators, the ψ-Daugavet Property, and Numerical Indices

Positivity ◽  
2005 ◽  
Vol 9 (4) ◽  
pp. 607-623 ◽  
Author(s):  
Timur Oikhberg
Author(s):  
Daniel Lenz ◽  
Timon Weinmann ◽  
Melchior Wirth

Abstract We compute the deficiency spaces of operators of the form $H_A{\hat {\otimes }} I + I{\hat {\otimes }} H_B$ , for symmetric $H_A$ and self-adjoint $H_B$ . This enables us to construct self-adjoint extensions (if they exist) by means of von Neumann's theory. The structure of the deficiency spaces for this case was asserted already in Ibort et al. [Boundary dynamics driven entanglement, J. Phys. A: Math. Theor.47(38) (2014) 385301], but only proven under the restriction of $H_B$ having discrete, non-degenerate spectrum.


2021 ◽  
Vol 383 ◽  
pp. 107719
Author(s):  
Ginés López-Pérez ◽  
Abraham Rueda Zoca

2010 ◽  
Vol 94 (4) ◽  
pp. 383-389 ◽  
Author(s):  
Miguel Martín ◽  
Javier Merí ◽  
Mikhail Popov
Keyword(s):  

2002 ◽  
Vol 46 (4) ◽  
pp. 1313-1338 ◽  
Author(s):  
Mikhail M. Popov ◽  
Beata Randrianantoanina

2001 ◽  
Vol 145 (3) ◽  
pp. 213-218 ◽  
Author(s):  
P. Lewis
Keyword(s):  

2015 ◽  
Vol 70 (1-2) ◽  
pp. 95-107 ◽  
Author(s):  
Manjul Gupta ◽  
Aneesh Mundayadan
Keyword(s):  

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