P Sam Johnson

Designation: 

Associate Professor
Contact Details

E-mail: 

sam[at]nitk.edu.in
nitksam[at]gmail.com

Telephone: 

91-824-2473261

Mobile: 

094488 45980

Personal Website: 

http://sam.nitk.ac.in
Academic Background
  • PhD, Alagappa University, 2005
  • MPhil, Alagappa University, 2001
  • MSc, Alagappa University, 2000
  • BSc, Madurai Kamaraj University, 1998
Areas of Interest
  • Functional Analysis
  • Operator Theory
Significant Projects
 
  • Funding Agency: SERC, DST, Government of India SR/FTP/ MS-050/2011 ; Title of the Project: Topological Structures  for Semiclosed Operators on Hilbert spaces ; Duration: Three  Years starting from 17.05.2014 to 16.05.2017 ; Completed.
  • Funding Agency: NBHM, DAE, Government of India NBHM/R.P.45/2012/Fresh/308 ; Title of the Project: A Study on Moore-Penrose Inverses in Krein spaces ; Duration: Three  Years starting from 15.08.2013 to 14.08.2016 ; Completed.
  • Funding Agency: NITK, Surathkal ; RGO/O.M/SEED GRANT/106/2009 ; Title of the Project : A Study on Closed Range Operators ; Duration : Two Years starting from 26.01.2009 to 25.01.2011 ; Completed.
Supervision of Ph.D
Current Students
 
1. K. Mahesh Krishna (Thesis Submitted)
2. Athira Satheesh
3. Rashid A
4. Sachin Manjunath Naik
5. Arup Majumdar
6. Hemalatha M
 
 
Degree Awarded
 
1. S. Balaji (2014) : A Study on Semiclosed Subspaces and Semiclosed Operators in Hilbert Spaces
2. G. Ramu (2017) : Frames for Operators in Hilbert and Banach Spaces
3. Vinoth A. (2020) : A Study on EP and Hypo-EP Operators
 
Significant Publications
30. K. Mahesh Krishna and P. Sam Johnson, “Frames for Metric Spaces”, Results in Mathematics (accepted for publication).
29. K. Mahesh Krishna and P. Sam Johnson, "Factorable Weak Operator-Valued Frames", Annals of Functional Analysis (accepted for publication).
28. K. Mahesh Krishna and P. Sam Johnson, "The noncommutative \ell_1-\ell_2  inequality for Hilbert C*-modules and the exact constant", Nonlinear Functional Analysis and Applications (accepted for publication).
27. K. Kamaraj, P. Sam Johnson and Athira Satheesh K, "Reverse Order Law for Generalized Inverses with Indefinite Hermitian Weights", Filomat (accepted for publication).
26. K. Mahesh Krishna, P. Sam Johnson and R. N. Mohapatra, "Multipliers for operator-valued Bessel sequences and generalized Hilbert-Schmidt classes", Journal of Applied Mathematics and Informatics (accepted for publication). 
25. P. Sam Johnson and K. Mahesh Krishna, “Commutators Close to the Identity in Unital C*-Algebras”, Proceedings - Mathematical Sciences (accepted for publication). 
24. K. Mahesh Krishna and P. Sam Johnson, “Perturbation of p-Approximate Schauder Frames for Separable Banach Spaces”, Poincare Journal of Analysis and Applications (accepted for publication). 
23. K. Mahesh Krishna and P. Sam Johnson, “Expansion of Weak Reconstruction Sequences to Approximate Schauder Frames for Banach Spaces”, Asian-European Journal of Mathematics (accepted for publication).
22. K. Mahesh Krishna and P. Sam Johnson, “Dilation Theorem for p-Approximate Schauder Frames for Separable Banach Spaces”, Palestine Journal of Mathematics (accepted for publication).
21. K. Mahesh Krishna and P. Sam Johnson, “New Identity on Parseval p-Approximate Schauder Frames and Applications”, Journal of Interdisciplinary Mathematics (accepted for publication).
20. P. Sam Johnson, Vinoth A and K. Kamaraj, “Fuglede-Putnam Type Commutativity Theorems for EP Operators”, Malaya J. Mat. 9 (2021), No. 1, 709-714.
19. Vinoth A and P. Sam Johnson, “Factorization of EP Operators in Krein Spaces”, Springer Proceedings in Mathematics and Statistics, 2021, 344, pp.359-364.
18. K. Mahesh Krishna and P. Sam Johnson, “Towards Characterizations of Approximate Schauder Frame and Its Duals for Banach Spaces”, J. Pseudo-Differ. Oper. Appl., 12(1), 2021, Art. 9, 13 pp.
17. Athira Satheesh K, P. Sam Johnson and K. Kamaraj, “Estimates of Norms on Krein Spaces”, Aust. J. Math. Anal. Appl. 17 (2020), No. 2, Art. 18, 10 pp.
16. P. Sam Johnson, “On Semiclosed Operators with Closed Range”, Canad. J. Appl. Math. 2 (2020), No. 2, 18-22.
15. P. Sam Johnson and S. Balaji, "Convergence of Operators with Closed Range", Khayyam J. Math. 5 (2019) No. 2, 132-138.
14. Mahesh Krishna and P. Sam Johnson, "Quotient Operators and the Open Mapping Theorem", Filomat 32:18 (2018), 6221–6227.
13. P. Sam Johnson and Vinoth A, "Product and Factorization of Hypo-EP Operators," Special Matrices 6 (2018), 376-382.
12. B. Parvathalu and P. Sam Johnson, "Construction of Mercedes-Benz Frame in Rn", International Journal of Applied and Computational Mathematics, December 2017, Issue 1 Supplement, 511-519.
11. G. Ramu and P. Sam Johnson, "Frames for Operators in Banach Spaces", Acta Mathematica Vietnamica, 42 (2017), 665-673.
10. Vinoth A and P. Sam Johnson, "On Sum and Restriction of Hypo-EP Operators", Funct. Anal. Approx. Comput. 9 (1) (2017), 37-41.
9. G. Ramu and P. Sam Johnson, "Frame Operators of K-frames", Boletin de la Sociedad Espanola de Matematica Aplicada, SeMA Journal (2016) 73 : 171-181.
8. P. Sam Johnson and G. Ramu, "Class of Bounded Operators associated with an Atomic System", Tamkang Journal of Mathematics, Vol.46, No.1, 85-90, March 2015.
7. P. Sam Johnson, “Multiplication Operators with Closed Range in Operator Algebras”, Journal of Analysis and Number Theory, Vol. 1, No.1, 1-5, 2013.
6. P. Sam Johnson and S. Balaji, “On Semiclosed Subspaces of Hilbert Spaces”, International Journal of Pure and Applied Mathematics, Vol. 79, No. 2, 2012, 249-258.
5. P. Sam Johnson and S. Balaji, “Hyers-Ulam Stability of Linear Operators in Frechet Spaces”, Applied Mathematics and Information Sciences, Vol. 6, No.3, 525-528 (2012).
4. P. Sam Johnson and S. Balaji, “On Linear Operators with Closed Range”, Journal of Applied Mathematics and Bioinformatics, Vol.1, No.2, 2011, 175-182.
3. P. Sam Johnson and C. Ganesa Moorthy, “Composition of Operators with Closed Range”, Journal of Analysis, 14(2006), 79-80.
2. C. Ganesa Moorthy and P. Sam Johnson, “Closed Range - Multiplication Operators", Mathematical Analysis and Applications, Narosa Publishing House, pp 133-138, 2004.
1. C. Ganesa Moorthy and P. Sam Johnson, “Composition of Closed Range Operators”, Journal of Analysis, 12(2004), 165-169.
Achievements
Organization of Conferences and other Academic Events
• Organized a national-level workshop on "Spectral Analysis and Applications" sponsored by NBHM during 14-16, February 2013. 
• Organized a national-level workshop on "Functional Analysis and Operator Algebras" sponsored by NBHM during 02-07, June 2014. 
• Organized a national-level workshop on "Topological Dynamics" sponsored by NBHM during 10-12, December 2015. 
• Invited Talks Arranged : 17
 
Awards and Distinctions 
• Received Merit Scholarship from Alagappa University in M.Phil.
• Alagappa University Second Rank in M.Phil.
• Qualified National Eligiblity Test (NET-JRF) conducted by CSIR
• Received Junior Research Fellowship (JRF) from CSIR while doing Ph.D
 
Assignments/Responsibilities
• Associate Dean-I (Faculty Welfare) 
• Associate NCC Officer at NITK in the rank of "Lieutenant" since 16th December 2012
• Member of Institute Grievance Redressal Committee, 2015-2020
• Faculty In-charge (Security), 2016-2018
• Visiting Faculty to IIIT Dharwad, 2015
• Warden of NITK 8th Block Hostel, 2014-2016
• Visits Abroad : United States of America (2014), Canada (2013), Republic of Korea (2014), United Kingdom (2017), Malaysia (2008, 2010),  Egypt (2011)
 

Contact us

Dr. R. Madhusudhan , Associate Professor and Head
Department of MACS, NITK, Surathkal
P. O. Srinivasnagar, Mangalore - 575 025
Karnataka, India.

  • Hot line: +91-0824-2474048

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