On the Partial Indices of Triangular Matrix Functions with Prescribed Indices of Their Diagonal Entries

  • K. V. Harutyunyan
  • A. G. Kamalyan
  • I. M. Spitkovsky
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 262)


For a triangular n-by-n matrix function with a fixed ordered set of the indices of its diagonal entries, an explicit description is obtained for all possible n-tuples of the partial indices.


Partial indices factorization triangular matrices 

Mathematics Subject Classification (2010)

Primary 47A68 


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • K. V. Harutyunyan
    • 1
  • A. G. Kamalyan
    • 2
    • 3
  • I. M. Spitkovsky
    • 4
  1. 1.Department of Mathematics and Mathematical ModelingRussian-Armenian (Slavonic) UniversityYerevanArmenia
  2. 2.Department of Mathematics and MechanicsYerevan State UniversityYerevanArmenia
  3. 3.Institute of Mathematics NAS ArmeniaYerevanArmenia
  4. 4.Division of Science and MathematicsNew York University Abu Dhabi (NYUAD) New York University Abu Dhabi (NYUAD)Abu DhabiUnited Arab Emirates

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