scholarly journals Unbounded or bounded idempotent operators in Hilbert space

2013 ◽  
Vol 438 (10) ◽  
pp. 3769-3775 ◽  
Author(s):  
Tsuyoshi Ando
Keyword(s):  
Hilbert Space ◽  
Idempotent Operators

Maps Preserving Complementarity of Closed Subspaces of a Hilbert Space

2014 ◽  
Vol 66 (5) ◽  
pp. 1143-1166 ◽  
Author(s):  
Lucijan Plevnik ◽  
Peter Šemrl
Keyword(s):  
Hilbert Space ◽  
Hilbert Spaces ◽  
Bounded Linear ◽  
Infinite Dimensional ◽  
Idempotent Operators

AbstractLet and be infinite-dimensional separable Hilbert spaces and Lat the lattice of all closed subspaces oh . We describe the general form of pairs of bijective maps ϕ, Ψ : Lat → Lat having the property that for every pair U, V ∊ Lat we have . Then we reformulate this theorem as a description of bijective image equality and kernel equality preserving maps acting on bounded linear idempotent operators. Several known structural results for maps on idempotents are easy consequences.

Hilbert Space

1993 ◽  
Author(s):  
J. R. Retherford
Keyword(s):  
Hilbert Space

On Definition of Expansion Probabilistic Hilbert Space

2018 ◽  
Vol 14 (3) ◽  
pp. 59-73
Author(s):  
Ahmed Hasan Hamed ◽  
Keyword(s):  
Hilbert Space ◽  
Definition Of

ON A GENERALIZATION OF THE HILBERT SPACE

1989 ◽  
Vol 22 (1) ◽  
pp. 1-20
Author(s):  
Hubert Wywcki
Keyword(s):  
Hilbert Space
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