| Autor: |
Kushel, Olga Y., Zabreiko, Petr P. |
| Zdroj: |
Topics in Operator Theory; 2010, p395-410, 16p |
| Abstrakt: |
The tensor and exterior squares of a completely continuous nonnegative linear operator A acting in the ideal space X(Ώ) are studied. The theorem representing the point spectrum (except, probably, zero) of the tensor square (A ⊗ A)M in the terms of the spectrum of the initial operator A is proved. The existence of the second (according to the module) positive eigenvalue λ2, or a pair of complex conjugate eigenvalues of a completely continuous non-negative operator A is proved under the additional condition, that its exterior square (A 〉 A)M is also nonnegative. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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