References

SOME RESULTS ON INTERPOLATORY BEST APPROXIMATION IN HILBERT SPACES


[1] T. Ando, Totally positive matrices, Lin. Alg. Appl. 90 (1987), 165-219.

[2] M. S. Bazarra and C. M. Shetty, Nonlinear Programming, Theory and Algorithms, John Wiley, New York-Chichester-Brisbane, 1979.

[3] G. C. Birkhoff, Orthogonality in linear metric space, Duke Math. J. 1 (1935), 169-172.

[4] J. Chmielinski, Remarks on orthogonality preserving mapping in normed spaces and some stability problems, Banach J. Math. Anal. 1(1) (2007), 117-124.

[5] M. Fiedler and V. Ptak, On matrices with non-positive off-diagonal elements and positive principal minors, Czech. Math. J. 12 (1962), 382-400.

[6] M. Fiedler and V. Ptak, Some generalizations of positive definiteness and monotonicity, Numer. Math. 9 (1966), 163-172,.

[7] R. C. James, Orthogonality and linear functionals in normed linear spaces, Trans. Amer. Math. Soc. 61 (1947), 265-292.

[8] C. R. Johnson and R. L. Smith, Linear interpolation problems for matrix classes and a transformational characterization of M-matrices, Lin. Alg. Appl. 330 (2001), 43-48.