The transformator of triangular truncation. Relations between the spectra of the hermitian components of Volterra operators

2004 ◽  
pp. 76-155
Keyword(s):  
Triangular Truncation ◽  
Volterra Operators

Generalized Volterra operators on polynomially generated Banach spaces

2020 ◽  
Vol Accepted ◽  
Author(s):  
Nasrin Eghbali ◽  
Maryam M. Pirasteh ◽  
Amir H. Sanatpour
Keyword(s):  
Banach Spaces ◽  
Volterra Operators

Fixed point sets for abstract volterra operators on fréchet spaces

2000 ◽  
Vol 76 (1-2) ◽  
pp. 131-152 ◽  
Author(s):  
Dana M. Bedivan ◽  
Donal O′Regan
Keyword(s):  
Fixed Point ◽  
Fréchet Spaces ◽  
Point Sets ◽  
Volterra Operators ◽  
Fixed Point Sets

Finite-dimensional perturbations of Volterra operators

2006 ◽  
Vol 138 (5) ◽  
pp. 5893-6066 ◽  
Author(s):  
Avgust Petrovich Khromov
Keyword(s):  
Finite Dimensional ◽  
Volterra Operators

Few Remarks on Quasi Quantum Quadratic Operators on 𝕄2(ℂ)

2020 ◽  
Vol 27 (02) ◽  
pp. 2050006
Author(s):  
Farrukh Mukhamedov ◽  
Sondos M. Syam ◽  
Shamma A.Y. Almazrouei
Keyword(s):  
Volterra Type ◽  
Positive Maps ◽  
Quantum Analogue ◽  
Volterra Operators

The present paper deals with a connection between quantum quadratic operators (QQOs) and quasi QQOs on 𝕄2(ℂ). We show that QQOs and quasi QQOs on 𝕄2(ℂ) coincide in the class of Volterra type of operators. To establish this result, we first describe these two kind of operators on the commutative part of 𝕄2(ℂ). Furthermore, in the last section, we introduce a quantum analogue of Volterra operators and provide concrete examples of such kind of operators. It is established that the considered examples also satisfy quasiness condition as well. The obtained results will allow to produce (with explicit conditions) a class of unital, but not trace-preserving positive maps of 𝕄2(ℂ).

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