The boundary spectrum of linear operators in finite-dimensional spaces

Yuri Lyubich

Banach Center Publications (1997)

  • Volume: 38, Issue: 1, page 217-226
  • ISSN: 0137-6934

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Lyubich, Yuri. "The boundary spectrum of linear operators in finite-dimensional spaces." Banach Center Publications 38.1 (1997): 217-226. <http://eudml.org/doc/208631>.

@article{Lyubich1997,
author = {Lyubich, Yuri},
journal = {Banach Center Publications},
keywords = {semigroup of operators; power bounded linear operator; decomposition; direct sum; spectrum in the open unit disk; dynamical systems},
language = {eng},
number = {1},
pages = {217-226},
title = {The boundary spectrum of linear operators in finite-dimensional spaces},
url = {http://eudml.org/doc/208631},
volume = {38},
year = {1997},
}

TY - JOUR
AU - Lyubich, Yuri
TI - The boundary spectrum of linear operators in finite-dimensional spaces
JO - Banach Center Publications
PY - 1997
VL - 38
IS - 1
SP - 217
EP - 226
LA - eng
KW - semigroup of operators; power bounded linear operator; decomposition; direct sum; spectrum in the open unit disk; dynamical systems
UR - http://eudml.org/doc/208631
ER -

References

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  5. [5] M. A. Krasnosel'skiĭ, On a spectral property of linear completely continuous operators in the space of continuous functions, Probl. Mat. Anal. Slozhnykh Sistem 2 (1968), 68-71 (in Russian). 
  6. [6] K. de Leeuw and I. Glicksberg, Applications of almost periodic compactifications, Acta Math. 105 (1961), 63-97. Zbl0104.05501
  7. [7] M. Yu. Lyubich, On the maximal entropy measure of a rational endomorphism of the Riemann sphere, Funktsional. Anal. i Prilozhen. 16 (1982), 78-79 (in Russian). 
  8. [8] M. Yu. Lyubich and Yu. I. Lyubich, The Perron-Frobenius theory for almost periodic operators and representations of semigroups, J. Soviet Math. 48:5 (1990), 539-554; transl. from Teor. Funktsiĭ Funktsional. Anal. i Prilozhen. 46 (1986), 54-72. Zbl0711.22002
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  10. [10] Yu. I. Lyubich, The iterations of quadratic mappings, in: Mathematical Economics and Functional Analysis, Nauka, Moscow, 1974 (in Russian). 
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  12. [12] Yu. I. Lyubich, Dissipative actions and almost periodic representations of Abelian semigroups, Ukrainian Math. J. 40 (1988), 58-62. Zbl0702.54024
  13. [13] Yu. I. Lyubich, On trajectory convergence of dissipative flows in Banach spaces, Integral Equations Oper. Theory 13 (1990), 138-144. Zbl0699.47041
  14. [14] Yu. I. Lyubich, Perron-Frobenius theory for finite-dimensional spaces with a hypebolic cone, Linear Algebra Appl. 220 (1995), 283-309. Zbl0823.15021
  15. [15] Yu. I. Lyubich and L. N. Vaserstein, Isometric embeddings between classical Banach spaces, cubature formulas and spherical designs, Geom. Dedicata 47(1993), 327-362. Zbl0785.52002
  16. [16] Yu. I. Lyubich and Vũ Quôc Phóng, Asymptotic stability of linear differential equations in Banach spaces, Studia Math. 88 (1988), 37-42. Zbl0639.34050
  17. [17] K. Numakura, On bicompact semigroups, Math. J. Okayama Univ. 1(1952), 99-108. Zbl0047.25502
  18. [18] B. Reznick, Sums of even powers of real linear forms, Mem. Amer. Math. Soc. 463 (1992). Zbl0762.11019
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  21. [21] A. I. Veitsblit and Yu. I. Lyubich, Boundary spectrum of nonnegative operators, Siberian Math. J. 26 (1985), 798-802. Zbl0646.47002
  22. [22] Vũ Quôc Phóng, Almost periodic and strongly stable semigroups of operators, this volume, 401-426. 

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