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1973-04-01
Symmetric perturbation of a self-adjoint operator
Parole chiave:
Complex Hilbert, self-adjoint operator, Symmetric perturbation (es)##submission.downloads##
We give a proof, which is valid in both real and complex Hilbert spaces, of the following result: If A is self-adjoint, B is symmetric D(B) ⊃ D(A), || Bx|| < a ||x|| + ||Ax|| for x∈ D(A), then A+bB is self-adjoint for [Formula]
Come citare
APA
Rao, D. K. (1973). Symmetric perturbation of a self-adjoint operator. Revista Colombiana de Matemáticas, 7(2), 81–84. https://revistas.unal.edu.co/index.php/recolma/article/view/31888
ACM
[1]
Rao, D.K. 1973. Symmetric perturbation of a self-adjoint operator. Revista Colombiana de Matemáticas. 7, 2 (apr. 1973), 81–84.
ACS
(1)
Rao, D. K. Symmetric perturbation of a self-adjoint operator. rev.colomb.mat 1973, 7, 81-84.
ABNT
RAO, D. K. Symmetric perturbation of a self-adjoint operator. Revista Colombiana de Matemáticas, [S. l.], v. 7, n. 2, p. 81–84, 1973. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/31888. Acesso em: 22 gen. 2025.
Chicago
Rao, Duggirala K. 1973. «Symmetric perturbation of a self-adjoint operator». Revista Colombiana De Matemáticas 7 (2):81-84. https://revistas.unal.edu.co/index.php/recolma/article/view/31888.
Harvard
Rao, D. K. (1973) «Symmetric perturbation of a self-adjoint operator», Revista Colombiana de Matemáticas, 7(2), pagg. 81–84. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/31888 (Consultato: 22 gennaio 2025).
IEEE
[1]
D. K. Rao, «Symmetric perturbation of a self-adjoint operator», rev.colomb.mat, vol. 7, n. 2, pagg. 81–84, apr. 1973.
MLA
Rao, D. K. «Symmetric perturbation of a self-adjoint operator». Revista Colombiana de Matemáticas, vol. 7, n. 2, aprile 1973, pagg. 81-84, https://revistas.unal.edu.co/index.php/recolma/article/view/31888.
Turabian
Rao, Duggirala K. «Symmetric perturbation of a self-adjoint operator». Revista Colombiana de Matemáticas 7, no. 2 (aprile 1, 1973): 81–84. Consultato gennaio 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/31888.
Vancouver
1.
Rao DK. Symmetric perturbation of a self-adjoint operator. rev.colomb.mat [Internet]. 1 aprile 1973 [citato 22 gennaio 2025];7(2):81-4. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/31888
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Copyright (c) 1973 Revista Colombiana de Matemáticas
TQuesto lavoro è fornito con la licenza Creative Commons Attribuzione 4.0 Internazionale.
