Ramesh, G.
Professor,
Department of Mathematics,
Indian Institute of Technology Hyderabad.
Experience  Teaching  Research  Students  Awards  Projects  Notes  Workshops/Conferences  Talks  IITH  Mathematics Dept

#Research Areas

Functional Analysis; Operator Theory

#Journal Publications

  1. G. Ramesh, Osaka Hiroyuki, Yoichi Udagawa and Takeaki yamazakiStability of $\mathcal{AN}$-property for the induced Aluthge transformations, Linear Algebra Appl. 678(2023), 206--226.(article link )

  2. S. H. Kulkarni and G. Ramesh; Spectral representation of absolutely minimum attaining unbounded normal operatorsAccepted in "Operators and Matrices" Vol 17 Number 3(2023), 653--669 (article link )

  3. Ramesh, G., Ranjan, B.S. and Naidu, D.V. On the C-polar decomposition of operators and applications Monatsh Math. 202(2023), no.3, 583--598. (article link )

  4. G. Ramesh, Osaka Hiroyuki, Yoichi Udagawa and Takeaki yamazaki; Stability of AN-operators under functional calculus., Anal. Math.49(2023), no.3, 825--839. (article link )

  5. Bhumi Amin and Ramesh Golla; Linear and Multiplicative maps under spectral conditions, accepted in Functional Analysis and Applications

  6. G. Ramesh,Shanola Smitha Sequeira; Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators, C. R. Math. Acad. Sci. Paris 361(2023), 973--977. (article link )

  7. G. Ramesh, B. Sudip Ranjan and D. Venku Naidu; Cyclic Composition operators on Segal-Bargmann Space, Concrete Operators, 9(2022), no.1, 127--138. (article link )

  8. G. Ramesh,Shanola Smitha Sequeira; On the closure of absolutely norm attaining Operators , Linear and Multilinear Algebra, Volume 71:18, 2894--2914 , (article link )

  9. G. Ramesh,Shanola Smitha Sequeira; Research article Absolutely norm attaining Toeplitz and absolutely minimum attaining Hankel operators, J. Math. Anal. Appl. Volume 516, Issue 1, 1 December 2022, 126497 (article link )

  10. G. Ramesh, B. Sudip Ranjan and D. Venku Naidu; A Representation of compact C-normal Operators, Linear and Multilinear Algebra 2022, (article link )

  11. Ramesh, G., Osaka, H. On operators which attain their norm on every reducing subspace. Ann. Funct. Anal. 13, 19 (2022) (article link )

  12. G. Ramesh, B. Sudip Ranjan and D. Venku Naidu; Cartesian decomposition of C-Normal Operators, Linear and Multilinear Algebra 70(2022), no.21, 6640--6647. (article link )

  13. Neeru Bala, G. Ramesh, A representation of hyponormal absolutely norm attaining operators, Bulletin des Sciences Mathematiques, Volume 171, (article link )

  14. Neeru Bala and G. Ramesh; Weyl's theorem for commuting tuple of paranormal and *-paranormal operators; Bull. Pol. Acad. Sci. Math. 69 (2021), no. 1, 69–86. (article link )

  15. G. Ramesh and Hiroyuki Osaka; On a subclass of norm attaining operators; Acta Sci. Math. (Szeged) 87:1-2(2021), 233-249 (article link )

  16. Ramesh Golla and Hiroyuki Osaka; Linear Maps preserving $\mathcal{AN}$-operators; Bull. Korean Math. Soc. 2020 Vol. 57, No. 4, 831—838 (article link )

  17. Neeru Bala and G. Ramesh; A Bishop-Phelps-Bollobas type property for minimum attaining operators; "Operators and Matrices" Volume 15, Number 2 (2021), 497-513 (article link )

  18. S. H. Kulkarni and G. Ramesh; Operetaors that attain reduced minimum; Indian J. Pure Appl. Math. 51 (2020), no. 4, 1615–1631. (article link )

  19. Neeru Bala and G. Ramesh; Weyl's theorem for paranormal closed operators; Annals of Functional Analysis (article link )

  20. Neeru Bala and G. Ramesh; Spectral properties of absolutely minimum attaining operators; Banach J. Math. Anal. (2020) (article link )

  21. S. H. Kulkarni and G. Ramesh: Ablolutely minimum attaining closed operators; the Journal of Analysis (article link )

  22. G. Ramesh and P. Santhosh Kumar; Spectral theorem for normal operators in Quaternionic Hilbert spaces: Multiplication form; Bull. Sci. Math (article link )

  23. D. Venku naidu, G. Ramesh: On absolutely norm attaining operators; Proc. Indian Acad. Sci. Math. Sci. (article link )

  24. Ganesh, Jadav; Ramesh, Golla ; Sukumar, Daniel, : A characterization of absolutely minimum attaining operators. J. Math. Anal. Appl. 468 (2018), no. 1, 567–583. (article link )

  25. Ramesh, G: ; Absolutely norm attaining paranormal operators; J. Math. Anal. Appl. 465, no. 1,2018, Pages 547-556 (article link )

  26. S. H. Kulkarni and Ramesh, G: ; On the denseness of minimum attaining closed operators; Oper. Matrices 12 (2018), no. 3, 699–709. 47A05 (47A55) (article link )

  27. Ganesh, Jadav; Ramesh, Golla ; Sukumar, Daniel, : Perturbation of minimum attaining operators Adv. Oper. Theory (article link )

  28. Ramesh, G and Santhosh Kumar, P: Spectral theorem for compact normal operators on Quaternionic Hilbert spaces; The Journal of Analysis; (article link )

  29. Ramesh, G: On the numerical radius of quaternionic normal operator; Advances in Operator Theory (2017) Volume 2, Issue 2, pp 78-86 (article link )

  30. Ramesh, G. Santhosh Kumar, P. Borel functional calculus for quaternionic normal operators. J. Math. Phys. 58 (2017), no. 5, 053501, 16 pp. (article link )

  31. Ramesh, G: . Weyl-von Neumann-Berg theorem for quaternionic operators; J. Math. Phys. 57 (2016), no. 4, 043503, 7 pp. (article link )

  32. Ramesh, G: and Santhosh Kumar, P. On the polar decomposition of right linear operators in quaternionic operators; J. Math. Phys. 57 (2016), no. 4, 043502, 16 pp. (article link )

  33. Kurmayya, T and Ramesh, G : Non negative Moore-Penrose inverses of Unbounded Gram Operators; Ann. Funct. Anal. 7 (2016), no. 2, 338–347.

  34. Ganesh, Jadav; Ramesh, Golla ; Sukumar, Daniel : On the structure of absolutely minimum attaining operators. J. Math. Anal. Appl. 428 (2015), no. 1, 457--470. (article link )

  35. Ramesh, G: Structure theorem for $\mathcal {AN}$-operators; J. Aust. Math. Soc. 96 (2014), no. 3, 386--395 (article link )

  36. Ramesh, G: McIntosh formula for the gap between regular operators. Banach J. Math. Anal. 7 (2013), no. 1, 97--106. (article link )

  37. Ramesh, G: The Horn-Li-Merino formula for the gap and the spherical gap of unbounded operators. Proc. Amer. Math. Soc. 139 (2011), no. 3, 1081–-1090. (article link )

  38. B. V. Rajarama Bhat, Ramesh, G. and K. Sumesh: Stinespring's theorem for maps on Hilbert $C*$-modules; J. Operator Theory Volume 68, Issue 1,pp. 173--178. (article link )

  39. Kulkarni, S. H.; Ramesh, G: Approximation of Moore-Penrose inverse of a closed operator by a sequence of finite rank outer inverses; Functional Analysis, Approximation and Computation 3:1 (2011), 23--32. (article link )

  40. Kulkarni, S. H.; Ramesh, G: The carrier graph topology. Banach J. Math. Anal. 5 (2011), no. 1, 56--69 (article link )

  41. Kulkarni, S. H.; Ramesh, G: Projection methods for computing Moore-Penrose inverses of unbounded operators. Indian J. Pure Appl. Math. 41 (2010), no. 5, 647--662 (article link )

  42. Kulkarni, S. H.; Ramesh, G: A formula for gap between two closed operators. Linear Algebra Appl. 432 (2010), no. 11, 3012--3017. (article link )

  43. Kulkarni, S. H.; Nair, M. T.; Ramesh, G: Some properties of unbounded operators with closed range. Proc. Indian Acad. Sci. Math. Sci. 118 (2008), no. 4, 613--625 (article link )

  44. Kulkarni, S. H.; Ramesh, G: Projection methods for inversion of unbounded operators. Indian J. Pure Appl. Math. 39 (2008), no. 2, 185--202

# Proceedings

  1. G. Ramesh, T. S. S. R. K. Rao and K. C. Sivakumar; International Conference cum Workshop on Analysis and its Applications June 18–22, 2018 Indian Institute of Technology Madras, Chennai, India. J. Anal. 29 (2021), no. 2, 359--367. (article link )

  2. S. H. Kulkarni and G. Ramesh; Gap formula for symmetric operators; Telangana Academy of Sciences, Volume 01, Year 2020, Pages 129-133
  3. S. H. Kulkarni and G. Ramesh; Absolutely minimum attaining closed perators: A Survey Accepted in J. Anal.

#Communicated

  1. Weyl-von Neumann theorem for antilinear skew-self-adjoint operators
  2. Hyperinvariant subspace of absolutely norm attaining and absolutely minimum attaining operators (with Neeru Bala)

  3. Linear and Multiplicative maps under spectral conditions (with Bhumi Amin)

  4. Representation and normaility of hyponormal operators in the closure of AN-operators (with Shanola smitha Sequeira)

  5. Representation compact operators on Banach Spaces (with Shanola smitha Sequeira and M. Veena sangeetha)

    # Unpublished

  6. Kulkarni, S. H.; Ramesh, G: Perturbation of closed range operators and Moore-Penrose Inverse. (article link )

  7. Boundedness and Compactness of linear combination of Composition Operators between Segal-Bargmann Spaces (with B. Sudip Ranjan and D. Venku Naidu)

  8. Almost Invariant Half space for closed operators. (with Neeru Bala)
Last updated on November 09, 2020