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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 30
  3. Acta Mathematica Sinica, English Series : Volume 30, Issue 4, April 2014
  4. Γ-inverses of bounded linear operators
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 30, Issue 12, December 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 11, November 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 10, October 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 9, September 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 8, August 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 7, July 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 6, June 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 5, May 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 4, April 2014
The defocusing energy-supercritical Hartree equation
Yetter-Drinfeld modules over weak braided Hopf monoids and center categories
On a relation between the universal Teichmüller space and the Grunsky operator
F-Class two graphs whose f-cores have maximum degree two
Asymptotic estimates on the time derivative of Φ-entropy on Riemannian manifolds
Wavelet transform and radon transform on the quaternion Heisenberg group
Calderón-Zygmund operators in the Bessel setting for all possible type indices
Nowhere-zero 15-flow in 3-edge-connected bidirected graphs
Vertex-disjoint K 1 + (K 1 ∪ K 2) in K 1,4-free graphs with minimum degree at least four
Γ-inverses of bounded linear operators
Hyperbolic metric and normal family
Characterization of arithmetic functions that preserve the sum-of-squares operation
On all fractional (a, b, k)-critical graphs
Neighbor sum distinguishing total colorings of graphs with bounded maximum average degree
Kernel quantile estimator with ICI adaptive bandwidth selection technique
Acta Mathematica Sinica, English Series : Volume 30, Issue 3, March 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 2, February 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 1, January 2014
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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Γ-inverses of bounded linear operators

Content Provider SpringerLink
Author Fang, Xiao Chun Xu, Xiao Ming Du, Hong Ke
Copyright Year 2014
Abstract Let $$\mathcal{B}\left( \mathcal{H} \right)$$ be the algebra of all the bounded linear operators on a Hilbert space $$\mathcal{H}$$ . For A, P and Q in $$\mathcal{B}\left( \mathcal{H} \right)$$ , if there exists an operator $$X \in \mathcal{B}\left( \mathcal{H} \right)$$ such that APXQA = A, XQAPX = X, (QAPX)* = QAPX and (XQAP)* = XQAP, then X is said to be the Γ-inverse of A associated with P and Q, and denoted by A P,Q + . In this note, we present some necessary and sufficient conditions for which A P,Q + exists, and give an explicit representation of A P,Q + (if A P,Q + exists).
Ending Page 680
Page Count 6
Starting Page 675
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 4
Volume Number 30
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2013-05-16
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Spectrum, resolvent General (adjoints, conjugates, products, inverses, domains, ranges, etc.) Γ-inverse Mathematics Generalized inverse Moore-Penrose inverse Matrix inversion, generalized inverses
Content Type Text
Resource Type Article
Subject Applied Mathematics
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