scholarly journals A commutativity theorem for semibounded operators in Hilbert space

1997 ◽  
Vol 125 (12) ◽  
pp. 3541-3545 ◽  
Author(s):  
A. Edward Nussbaum
Keyword(s):  
Hilbert Space ◽  
Commutativity Theorem

scholarly journals A generalized commutativity theorem for pk-quasihyponormal operators

Filomat ◽  
2007 ◽  
Vol 21 (2) ◽  
pp. 77-83
Author(s):  
B.P. Duggal
Keyword(s):  
Hilbert Space ◽  
Generalized Derivation ◽  
Elementary Operator ◽  
Commutativity Theorem ◽  
Hilbert Space Operators

For Hilbert space operators A and B, let ?AB denote the generalized derivation ?AB(X) = AX - XB and let /\AB denote the elementary operator rAB(X) = AXB-X. If A is a pk-quasihyponormal operator, A ? pk - QH, and B*is an either p-hyponormal or injective dominant or injective pk - QH operator (resp., B*is an either p-hyponormal or dominant or pk - QH operator), then ?AB(X) = 0 =? SA*B*(X) = 0 (resp., rAB(X) = 0 =? rA*B*(X) = 0). .

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
Sign in / Sign up

Export Citation Format

Share Document