Abstract
The paper considers the so-called strict s -numbers, which form an important subclass of the family of all s -numbers. For operators acting between Hilbert spaces the various s -numbers are known to coincide: here we give examples of linear maps T and non-Hilbert spaces X, Y such that all strict s -numbers of T : X \to Y coincide. The maps considered are either simple integral operators acting in Lebesgue spaces or Sobolev embeddings; in these cases the exact value of the strict s -numbers is determined.
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