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. Neeru Bala and Ramesh Golla; Hyperinvariant subspaces for normaloid essential isometric operators J. Math. Anal. Appl. (article link )

  2. Bhumi Amin and Ramesh Golla; Completely positive maps: pro- C*-algebras and Hilbert modules over pro- C* -algebras; Positivity ; 28, 71 (2024) (article link )

  3. G. Ramesh and Shanola smitha Sequeira Representation and normaility of hyponormal operators in the closure of AN-operators; to appear in Acta Math. Hungarica

  4. G. Ramesh, M. Veena Sangeetha and Shanola S. Sequeira; Representation compact operators on Banach Spaces, accepted in Journal of Operator Theory

  5. 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 )

  6. 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 )

  7. 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 )

  8. 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 )

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

  10. 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 )

  11. 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 )

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

  13. 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 )

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

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

  16. 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 )

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

  18. 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 )

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

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

  21. 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 )

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

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

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

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

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

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

  28. 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 )

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

  30. 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 )

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

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

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

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

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

  36. 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 )

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

  38. 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 )

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

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

  41. 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 )

  42. 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 )

  43. 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 )

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

  45. 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 )

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

  47. 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 )

  48. 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 Inverse Problems, Regularization Methods and Related Topics

  4. S. H. Kulkarni and G. Ramesh; Singular Value decomposition for unbounded Absolutely minimum attaining perators: Accepted in Trends in Mathematics

#Communicated

  1. Weyl-von Neumann theorem for antilinear skew-self-adjoint operators

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

  3. A Radon-Nikodym theorem for completely positive maps on Hilbert pro-$C^*-$modules (with Bhumi Amin)

# Unpublished

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

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

  3. Almost Invariant Half space for closed operators. (with Neeru Bala)
Last updated on October 21, 2024