Main Article Content
Abstract
Keywords
Article Details
References
- L. Arambasic and R. Rajic, "The Birkhoff-James Orthogonality in Hilbert C*-modules," LinearAlgebra, vol. 437, pp. 1913-1929, 2012.[2] L. Arambasic and R. Rajic, "A Strong Version of the Birkhoff-James Orthogonality in Hilbert C*-modules," Annals of Functinal Analysis, vol. 1, pp. 109-120, 2014.
- T. Bhattacharyya and P. Grover, "Characterization of Birkhoff-James Orthogonality," Journal ofMathematical Analysis and Applications, vol. 407, pp. 350-358, 2013.
- P. Grover, "Orthogonality to Matrix Subspaces, and a Distance Formula," Linear Algebra, vol. 445,pp. 280-288, 2014.
- D. Sain, K. Paul and S. Hait, "Operator Norm Attainment and Birkhoff-James Orthogonality," LinearAlgebra, vol. 476, pp. 85-97, 2015.
- K. Paul, D. Sain and P. Ghosh, "Birkhoff-James Orthogonality and Smoothness of Bounded LinearOperators," Linear Algebra, vol. 506, pp. 551-563, 2016.
- P. Ghosh, D. Sain and K. Paul, "On Symmetry of Birkhoff-James Orthogonality of Linear Operators,"Advance in Operator Theory, vol. 4, pp. 428-434, 2017.
- E. Kreyszig, Introductory Functional Analysis with Applications, New York: John Wiley & Sons,Inc, 1978.
- A. Dax, "The Distance between Two Convex Sets," Linear Algebra and its Applications, pp. 184-213,2006.
- A. Iske, Approximation Theory and Algorithms for Data Analysis, Switzerland: Springer Nature Switzerland, 2010.
- D. G. Luenberger, Optimization by Vector Space Methods, New York: John Wiley & Sons, Inc, 1969.
- F. Deutsch, Best Approximation in Inner product Spaces, New York: Springer Verlag, Inc, 2001.
- J. Weidmann, Linear Operator in Hilbert Spaces, New York: Springer-Verlag New York, 1980.
References
L. Arambasic and R. Rajic, "The Birkhoff-James Orthogonality in Hilbert C*-modules," LinearAlgebra, vol. 437, pp. 1913-1929, 2012.[2] L. Arambasic and R. Rajic, "A Strong Version of the Birkhoff-James Orthogonality in Hilbert C*-modules," Annals of Functinal Analysis, vol. 1, pp. 109-120, 2014.
T. Bhattacharyya and P. Grover, "Characterization of Birkhoff-James Orthogonality," Journal ofMathematical Analysis and Applications, vol. 407, pp. 350-358, 2013.
P. Grover, "Orthogonality to Matrix Subspaces, and a Distance Formula," Linear Algebra, vol. 445,pp. 280-288, 2014.
D. Sain, K. Paul and S. Hait, "Operator Norm Attainment and Birkhoff-James Orthogonality," LinearAlgebra, vol. 476, pp. 85-97, 2015.
K. Paul, D. Sain and P. Ghosh, "Birkhoff-James Orthogonality and Smoothness of Bounded LinearOperators," Linear Algebra, vol. 506, pp. 551-563, 2016.
P. Ghosh, D. Sain and K. Paul, "On Symmetry of Birkhoff-James Orthogonality of Linear Operators,"Advance in Operator Theory, vol. 4, pp. 428-434, 2017.
E. Kreyszig, Introductory Functional Analysis with Applications, New York: John Wiley & Sons,Inc, 1978.
A. Dax, "The Distance between Two Convex Sets," Linear Algebra and its Applications, pp. 184-213,2006.
A. Iske, Approximation Theory and Algorithms for Data Analysis, Switzerland: Springer Nature Switzerland, 2010.
D. G. Luenberger, Optimization by Vector Space Methods, New York: John Wiley & Sons, Inc, 1969.
F. Deutsch, Best Approximation in Inner product Spaces, New York: Springer Verlag, Inc, 2001.
J. Weidmann, Linear Operator in Hilbert Spaces, New York: Springer-Verlag New York, 1980.