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<p>Functions on a&#xa0;countable product of Banach spaces that depend only on the “tail” of the sequence of coordinates of the argument are studied. We obtain a&#xa0;sufficient condition under which a&#xa0;function that is upper (lower) semicontinuous in the uniform topology belongs to the second (third) Baire class in the Tychonoff topology.</p>

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BAIRE CLASSES OF MAJORANTS AND MINORANTS OF UPPER-LIMIT TAIL FUNCTIONS ON THE PRODUCT OF BANACH SPACES

  • 期刊论文

  • 发表日期：

    2026年8月4日

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  • V. V. Bykov

摘要

Functions on a countable product of Banach spaces that depend only on the “tail” of the sequence of coordinates of the argument are studied. We obtain a sufficient condition under which a function that is upper (lower) semicontinuous in the uniform topology belongs to the second (third) Baire class in the Tychonoff topology.