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Eigenvalues of Countably Condensing Admissible Maps

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Abstract

Applying a fixed point theorem for compact admissible maps due to G'orniewicz, we prove that under certain conditions each countably condensing admissible maps in Fr'echet spaces has a positive eigenvalue. This result has many consequences, including the well-known theorem of Krasnoselskii.

참고문헌 (14)

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