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Which of Gelfand's contributions is considered foundational in functional analysis?

  • Gelfand Triple

  • Gelfand-Mazur

  • Gelfand Transform

  • Gelfand-Loewner

Answer

The Gelfand transform, the foundational contribution of Israel Gelfand in functional analysis, provides a powerful tool for studying Banach algebras. It establishes a one-to-one correspondence between maximal ideals of a commutative Banach algebra and certain compact Hausdorff spaces, enabling the analysis of the algebra's structure and representation theory.
Mastermind of Mathematics: Unraveling the Genius of Israel Gelfand

Mastermind of Mathematics: Unraveling the Genius of Israel Gelfand

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