Operator extensions with closed range
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Publication:2392023
DOI10.1007/s10474-011-0185-0zbMath1275.47025OpenAlexW1983555835MaRDI QIDQ2392023
Publication date: 6 August 2013
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10474-011-0185-0
operator extensionclosed rangeMoore-Penrose inversepositive operatorFriedrichs extensionKrein-von Neumann extension
Dilations, extensions, compressions of linear operators (47A20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Positive linear operators and order-bounded operators (47B65)
Related Items
Lebesgue-type decomposition of positive operators ⋮ Operators on anti‐dual pairs: Generalized Krein–von Neumann extension ⋮ On the adjoint of Hilbert space operators ⋮ Closed range positive operators on Banach spaces ⋮ On form sums of positive operators ⋮ Extensions of positive operators and functionals ⋮ Adjoint to each other linear relations. Nieminen type criteria ⋮ On the adjoint of linear relations in Hilbert spaces ⋮ On the operator equations An = A*A ⋮ Closed \(EP\) and hypo-\(EP\) operators on Hilbert spaces
Cites Work
- Functional analysis and partial differential equations. I
- Perturbation theory for nullity, deficiency and other quantities of linear operators
- Closed range positive operators on Banach spaces
- The operator theory of the pseudo-inverse. I: Bounded operators, II: Unbounded operators with arbitrary range
- Positive selfadjoint extensions of positive symmetric operators
- On operator ranges
- Extension theory of differential operators I
- On Closed Operators with Closed Range
- Étude sur les variétés et les opérateurs de Julia, avec quelques applications
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