Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(6)
Generalized Inverse
hilbert c module
Necessary and Sufficient Condition
Operator Equation
Positive Solution
Satisfiability
Subscribe
Academic
Publications
Positive solutions to a system of adjointable operator equations over Hilbert C ∗ modules
Positive solutions to a system of adjointable operator equations over Hilbert C ∗ modules,10.1016/j.laa.2010.05.023,Linear Algebra and Its Applicatio
Edit
Positive solutions to a system of adjointable operator equations over Hilbert C ∗ modules
(
Citations: 1
)
BibTex

RIS

RefWorks
Download
QingWen Wang
,
ChangZhou Dong
We present necessary and sufficient conditions for the existence of a
positive solution
to the system of adjointable operator equations A1X=C1,XB2=C2,A3XB3=C3 over Hilbert C∗modules. We also derive a representation for a general
positive solution
to this system when the solvability conditions are satisfied. The results of this paper extend some known results in the literature.
Journal:
Linear Algebra and Its Applications  LINEAR ALGEBRA APPL
, vol. 433, no. 7, pp. 14811489, 2010
DOI:
10.1016/j.laa.2010.05.023
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
www.sciencedirect.com
)
(
linkinghub.elsevier.com
)
References
(17)
Nonnegative definite and positive definite solutions to the matrix equation AXA = B
(
Citations: 36
)
Jerzy K. Baksalary
Journal:
Linear & Multilinear Algebra  LINEAR MULTILINEAR ALGEBRA
, vol. 16, no. 14, pp. 133139, 1984
Positive and realpositive solutions to the equation axa*=c in C*algebras
(
Citations: 8
)
D. CvetkovićIlić
,
Alegra Dajić
,
J. J. Koliha
Journal:
Linear & Multilinear Algebra  LINEAR MULTILINEAR ALGEBRA
, vol. 55, no. 6, pp. 535543, 2007
Positive solutions to the equations A X = C and X B = D for Hilbert space operators
(
Citations: 12
)
Alegra Dajic
,
J. J. Koliha
Journal:
Journal of Mathematical Analysis and Applications  J MATH ANAL APPL
, vol. 333, no. 2, pp. 567576, 2007
Equations ax = c and xb = d in rings and rings with involution with applications to Hilbert space operators
(
Citations: 5
)
Alegra Dajić
,
J. J. Koliha
Journal:
Linear Algebra and Its Applications  LINEAR ALGEBRA APPL
, vol. 429, no. 7, pp. 17791809, 2008
Solutions to operator equations on Hilbert C ∗ modules
(
Citations: 3
)
Xiaochun Fang
,
Jing Yu
,
Hongliang Yao
Journal:
Linear Algebra and Its Applications  LINEAR ALGEBRA APPL
, vol. 431, no. 11, pp. 21422153, 2009
Sort by:
Citations
(1)
Friction behavior of laser cladding magnesium alloy against AISI 52100 steel
A. Fabre
,
J. E. Masse
Journal:
Tribology International  TRIBOL INT