Solutions to operator equations on Hilbert \(C^*\)-modules. II

DOI10.1007/s00020-010-1783-xzbMath1207.47013OpenAlexW2080131258MaRDI QIDQ601711

Jing Yu, Xiao Chun Fang

Publication date: 29 October 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-010-1783-x

zbMATH Keywords

solutionpositive solutionHilbert C*-modulereal positive solution

Mathematics Subject Classification ID

(C^*)-modules (46L08) Equations involving linear operators, with operator unknowns (47A62) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

Unnamed Item ⋮ Pedersen-Takesaki operator equation and operator equation \(AX = B\) in Hilbert \(C^*\)-modules ⋮ Variational inequalities with multivalued lower order terms and convex functionals in Orlicz-Sobolev spaces ⋮ Operator equations \(AX+YB=C\) and \(AXA^\ast + BYB^\ast =C\) in Hilbert \(C^\ast\)-modules ⋮ Douglas' + Sebestyén's lemmas = a tool for solving an operator equation problem ⋮ Existence results for some nonlinear elliptic equations with measure data in Orlicz-Sobolev spaces ⋮ Unnamed Item ⋮ A note on majorization and range inclusion of adjointable operators on Hilbert \(C^\ast\)-modules ⋮ Solutions of the Sylvester equation in \(C^*\)-modular operators ⋮ Operator algebra generated by an element from the module \(\mathcal {B}(V_1,V_2)\) ⋮ Solutions to the system of operator equations \(A_1 X = C_1\), \(X B_2 = C_2\), and \(A_3 X B_3 = C_3\) on Hilbert \(C^*\)-modules

Cites Work

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• The solutions to some operator equations
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• Common complements of two subspaces of a Hilbert space
• The induced representation of \(C^*\)-groupoid dynamic systems
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• Re-nnd SOLUTIONS OF THE MATRIX EQUATION AXB=C
• Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
• The Equations A^TX\pm X^TA=B
• The spectral mapping theorem for joint approximate point spectrum
• Positive and real-positive solutions to the equationaxa*=cinC*-algebras
• Higher-rank numerical ranges of unitary and normal matrices

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