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- O. Y. KUSHEL, P. P. ZABREIKO
- 2006

The existence of the second (according to the module) eigenvalue λ2 of a completely continuous nonnegative operator A is proved under the conditions that A acts in the space Lp(Ω) or C(Ω) and its exterior square A∧A is also nonnegative. For the case when the operators A and A∧A are indecomposable, the simplicity of the first and second eigenvalues is… (More)

- A. V. GUMINSKAYA, P. P. ZABREIKO
- 2006

The paper is devoted to the calculation of the index of a zero and the asymptotic index of a linear completely continuous nonnegative operator. Also the case of a nonlinear completely continuous operator A whose domain and image are situated in a closed convex set Q of a Banach space is considered. For this case, we formulate the rules for calculating the… (More)

- Olga Y. Kushel, Petr P. Zabreiko
- 2008

The tensor and exterior squares of a completely continuous non-negative linear operator A acting in the ideal space X(Ω) are studied. The theorem representing the point spectrum (except, probably, zero) of the tensor square A ⊗ A in the terms of the spectrum of the initial operator A is proved. The existence of the second (according to the module) positive… (More)

- Oleg Matysik, Petr Zabreiko
- Comput. Meth. in Appl. Math.
- 2015

- B Lipkin, A Rosenfeld, +5 authors Comput Mach
- IEEE Transactions on Pattern Analysis and Machine…
- 1981

1 ] A. Rosenfeld and A. Kak, Digital Picture Processing. New York: Academic, 1976. [21 B. Lipkin and A. Rosenfeld, Picture Processing and Psychopictorics. New York: Academic, 1970. [31 W. Pratt, Digital Image Processing. New York: Wiley, 1978. [41 M. Krasnoselsky, A. Perov, and P. Zabreiko, Plane Vector Fields. New York: Academic, 1961. [5] J. Milnor,… (More)

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