OpenAlex | On the operator equation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$AX - XB = C$"><mml:mrow><mml:mi>A</mml:mi><mml:mtext> </mml:mtext><mml:mi>X</mml:mi><mml:mo>−</mml:mo><mml:mi>X</mml:mi><mml:mtext> </mml:mtext><mml:mi>B</mml:mi><mml:mo>=</mml:mo><mml:mi>C</mml:mi></mml:mrow></mml:math>with unbounded operators<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$A,B$"><mml:mrow><mml:mi>A</mml:mi><mml:mo>,</mml:mo><mml:mi>B</mml:mi></mml:mrow></mml:math>, and…

On the operator equationA X−X B=Cwith unbounded operatorsA,B, and…

Work

Year: 2001

Type: article

Abstract: We find the criteria for the solvability of the operator equation A X − X B = C , where A , B , and C are unbounded operators, and use the result to show existence and regularity of solutions of nonho... more

Source: Abstract and Applied Analysis

Author Nguyen Thanh Lan

Institution Ohio University

Cites: 21

Cited by: 8

Related to: 10

FWCI:

Citation percentile (by year/subfield): 63.41

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

APC paid (est): $1,025