فهرست مقالات isometry

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  1 - Some properties of Moore$-$Penrose inverse of weighted composition operators
  M. Sohrabi
  ‎In this paper‎, ‎we give an explicit formula for the Moore-Penrose inverse of $W$‎, ‎denoted by$W^{\dag}$‎, ‎on $L^2(\Sigma)$‎. ‎As an application‎, ‎we give a characterization for some operator classes that are weaker than $ چکیده کامل

  ‎In this paper‎, ‎we give an explicit formula for the Moore-Penrose inverse of $W$‎, ‎denoted by$W^{\dag}$‎, ‎on $L^2(\Sigma)$‎. ‎As an application‎, ‎we give a characterization for some operator classes that are weaker than $p$-hyponormal with $W^{\dag}$‎. ‎Moreover‎, ‎we give specific examples illustrating these classes‎. پرونده مقاله
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  2 - Higher rank numerical ranges of rectangular matrix polynomials
  Gh. Aghamollaei M. Zahraei
  In this paper, the notion of rank-k numerical range of rectangular complex matrix polynomials are introduced. Some algebraic and geometrical properties are investigated.Moreover, for ϵ > 0; the notion of Birkhoff-James approximate orthogonality sets for ϵ-higherrank چکیده کامل

  In this paper, the notion of rank-k numerical range of rectangular complex matrix polynomials are introduced. Some algebraic and geometrical properties are investigated.Moreover, for ϵ > 0; the notion of Birkhoff-James approximate orthogonality sets for ϵ-higherrank numerical ranges of rectangular matrix polynomials is also introduced and studied. The proposed denitions yield a natural generalization of the standard higher rank numericalranges. پرونده مقاله