#Research Areas

#Journal Publications

1. Neeru Bala and G. Ramesh; Weyl's theorem for commuting tuple of paranormal and *-paranormal operators; Accepted in Bulletin of the Polish Academy of Sciences - Mathematics
   
   
2. G. Ramesh and Hiroyuki Osaka; On a subclass of norm attaining operators;b Acta Sci. Math. (Szeged) 87:1-2(2021), 233-249
   
   
3. Ramesh Golla and Hiroyuki Osaka; Linear Maps preserving $\mathcal{AN}$-operators; Bull. Korean Math. Soc. 2020 Vol. 57, No. 4, 831—838 (article link )
   
   
4. Neeru Bala and G. Ramesh; A Bishop-Phelps-Bollobas type property for minimum attaining operators; To appear in "Operators and Matrices" (2020)
   
   
5. S. H. Kulkarni and G. Ramesh; Operetaors that attain reduced minimum; Indian J. Pure Appl. Math. 51 (2020), no. 4, 1615–1631. (article link )
   
   
6. Neeru Bala and G. Ramesh; Weyl's theorem for paranormal closed operators; Annals of Functional Analysis (article link )
   
   
7. Neeru Bala and G. Ramesh; Spectral properties of absolutely minimum attaining operators; Banach J. Math. Anal. (2020) (article link )
   
   
8. S. H. Kulkarni and G. Ramesh: Ablolutely minimum attaining closed operators; the Journal of Analysis (article link )
   
   
9. G. Ramesh and P. Santhosh Kumar; Spectral theorem for normal operators in Quaternionic Hilbert spaces: Multiplication form; Bull. Sci. Math (article link )
   
   
10. D. Venku naidu, G. Ramesh: On absolutely norm attaining operators; Proc. Indian Acad. Sci. Math. Sci. (article link )
    
    
11. 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 )
    
    
12. Ramesh, G: ; Absolutely norm attaining paranormal operators; J. Math. Anal. Appl. 465, no. 1,2018, Pages 547-556 (article link )
    
    
13. 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 )
    
    
14. Ganesh, Jadav; Ramesh, Golla ; Sukumar, Daniel, : Perturbation of minimum attaining operators, T Adv. Oper. Theory (article link )
    
    
15. Ramesh, G and Santhosh Kumar, P: Spectral theorem for compact normal operators on Quaternionic Hilbert spaces; The Journal of Analysis; (article link )
    
    
16. Ramesh, G: On the numerical radius of quaternionic normal operator; Advances in Operator Theory (2017) Volume 2, Issue 2, pp 78-86 (article link )
    
    
17. Ramesh, G. Santhosh Kumar, P. Borel functional calculus for quaternionic normal operators. J. Math. Phys. 58 (2017), no. 5, 053501, 16 pp. (article link )
    
    
18. Ramesh, G: . Weyl-von Neumann-Berg theorem for quaternionic operators; J. Math. Phys. 57 (2016), no. 4, 043503, 7 pp. (article link )
    
    
19. 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 )
    
    
20. Kurmayya, T and Ramesh, G : Non negative Moore-Penrose inverses of Unbounded Gram Operators; Ann. Funct. Anal. 7 (2016), no. 2, 338–347.
    
    
21. 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 )
    
    
22. Ramesh, G: Structure theorem for $\mathcal {AN}$-operators; J. Aust. Math. Soc. 96 (2014), no. 3, 386--395
    
    
23. Ramesh, G: McIntosh formula for the gap between regular operators. Banach J. Math. Anal. 7 (2013), no. 1, 97--106
    
    
24. 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,
    
    
25. 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
    
    
26. 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
    
    
27. Kulkarni, S. H.; Ramesh, G: The carrier graph topology. Banach J. Math. Anal. 5 (2011), no. 1, 56--69,
    
    
28. 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,
    
    
29. Kulkarni, S. H.; Ramesh, G: A formula for gap between two closed operators. Linear Algebra Appl. 432 (2010), no. 11, 3012--3017,
    
    
30. 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,
    
    
31. 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. S. H. Kulkarni and G. Ramesh; Gap formula for symmetric operators; Telangana Academy of Sciences, Volume 01, Year 2020, Pages 129-133

#Communicated

1. Hyperinvariant subspace of absolutely norm attaining and absolutely minimum attaining operators (with Neeru Bala)
   
   
2. A representation of hyponormal absolutely norm attaining operators (with Neeru Bala)
   
   
3. Weyl's theorem for commuting tuple of paranormal and *-paranormal operators (with Neeru Bala)
   
   
4. Almost Invariant Half space for closed operators. (with Neeru Bala)
   
   
5. Boundedness and Compactness of linear combination of Composition Operators between Segal-Bargmann Spaces (with B. Sudip Ranjan and D. Venku Naidu)
   
   
6. Cyclic Composition Operators on Segal-Bargmann Space (with B. Sudip Ranjan and D. Venku Naidu)
   
   
7. A characterization of C-Normal Operators (with B. Sudip Ranjan and D. Venku Naidu)
   
   
8. On the closure of absolutely norm attaining Operators (with Shanola Smitha Sequeira)
   
   
9. On operators which attain their norm on every reducing subspace (with Hiroyuki Osaka)