Continuite lipschitzienne du spectre comme fonction d'un opérateur normal
Pták, Vlastimil ; Zemánek, Jaroslav
Commentationes Mathematicae Universitatis Carolinae, Tome 017 (1976), p. 507-512 / Harvested from Czech Digital Mathematics Library
Publié le : 1976-01-01
Classification:  15A60,  47A10,  47B15
@article{105713,
     author = {Vlastimil Pt\'ak and Jaroslav Zem\'anek},
     title = {Continuite lipschitzienne du spectre comme fonction d'un op\'erateur normal},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {017},
     year = {1976},
     pages = {507-512},
     zbl = {0341.47019},
     mrnumber = {0493433},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/105713}
}
Pták, Vlastimil; Zemánek, Jaroslav. Continuite lipschitzienne du spectre comme fonction d'un opérateur normal. Commentationes Mathematicae Universitatis Carolinae, Tome 017 (1976) pp. 507-512. http://gdmltest.u-ga.fr/item/105713/

B. Aupetit Continuité et uniforme continuité du spectre dans les algèbres de Banach, à paraitre. | Zbl 0372.46044

F. L. Bauer C. T. Fike Norms and exclusion theorems, Numer. Math. 2 (1960), 137-141. (1960) | MR 0118729

N. Bourbaki Théories spectrales, Paris 1967. (1967) | Zbl 0152.32603

J. B. Conway On the Calkin algebra and the covering homotopy property, Trans. Amer. Math. Soc. 211 (1975), 135-142. (1975) | MR 0399875 | Zbl 0281.46055

M. Fiedler Additive compound matrices and an inequality for eigenvalues of symmetric stochastic matrices, Czech. Math. J. 24 (1974), 392-402. (1974) | MR 0347858 | Zbl 0345.15013

A. J. Hoffman H. W. Wielandt The variation of the spectrum of a normal matrix, Duke Math. J. 20 (1953), 37-39. (1953) | MR 0052379

V. I. Istrătescu Introducere în teoria operatorilor liniari, Bucureşti 1975. (1975)

J. Janas Note on the spectrum and joint spectrum of hyponormal and Toeplitz operators, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 23 (1975), 957-961. (1975) | MR 0440401 | Zbl 0317.47015

T. Kato Perturbation theory for linear operators, New York 1S66. | MR 0203473 | Zbl 0836.47009

J. D. Newburgh The variation of spectra, Duke Math. J. 19 (1951), 165-176. (1951) | MR 0051441 | Zbl 0042.12302

V. Pták An inclusion theorem for normal operators, Acta Sci. Math. Szeged, sous presse. | MR 0410447

J. Stoer R. Bulirsch Einführung in die Numerische Mathematik II, Berlin 1911. (1911)

J. Zemánek Spectral radius characterizations of commutativity in Banach algebras, Studia Math., sous presse. | MR 0461139