Published

1976-07-01

A triangle inequality for angles in a Hilbert space

Keywords:

Unit vectors, Hilbert space, triangle inequality (es)

Authors

  • D. K. Rao Universidad del Valle

Let  x,y,z be unit vectors in a Hilbert space, and define the angle θxy by cos θxy  = Re (x,y), 0 ≤ θxy ≤ π.  The object this note  is to give a proof of the following inequality

(1)                   θxz  < θxy  + θyz .

How to Cite

APA

Rao, D. K. (1976). A triangle inequality for angles in a Hilbert space. Revista Colombiana de Matemáticas, 10(3), 95–97. https://revistas.unal.edu.co/index.php/recolma/article/view/32125

ACM

[1]
Rao, D.K. 1976. A triangle inequality for angles in a Hilbert space. Revista Colombiana de Matemáticas. 10, 3 (Jul. 1976), 95–97.

ACS

(1)
Rao, D. K. A triangle inequality for angles in a Hilbert space. rev.colomb.mat 1976, 10, 95-97.

ABNT

RAO, D. K. A triangle inequality for angles in a Hilbert space. Revista Colombiana de Matemáticas, [S. l.], v. 10, n. 3, p. 95–97, 1976. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/32125. Acesso em: 10 mar. 2025.

Chicago

Rao, D. K. 1976. “A triangle inequality for angles in a Hilbert space”. Revista Colombiana De Matemáticas 10 (3):95-97. https://revistas.unal.edu.co/index.php/recolma/article/view/32125.

Harvard

Rao, D. K. (1976) “A triangle inequality for angles in a Hilbert space”, Revista Colombiana de Matemáticas, 10(3), pp. 95–97. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/32125 (Accessed: 10 March 2025).

IEEE

[1]
D. K. Rao, “A triangle inequality for angles in a Hilbert space”, rev.colomb.mat, vol. 10, no. 3, pp. 95–97, Jul. 1976.

MLA

Rao, D. K. “A triangle inequality for angles in a Hilbert space”. Revista Colombiana de Matemáticas, vol. 10, no. 3, July 1976, pp. 95-97, https://revistas.unal.edu.co/index.php/recolma/article/view/32125.

Turabian

Rao, D. K. “A triangle inequality for angles in a Hilbert space”. Revista Colombiana de Matemáticas 10, no. 3 (July 1, 1976): 95–97. Accessed March 10, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/32125.

Vancouver

1.
Rao DK. A triangle inequality for angles in a Hilbert space. rev.colomb.mat [Internet]. 1976 Jul. 1 [cited 2025 Mar. 10];10(3):95-7. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/32125

Download Citation

Article abstract page views

177

Downloads