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Metric Spaces

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Functional Analysis for the Applied Sciences

Part of the book series: Universitext ((UTX))

Abstract

Metric spaces offer a sufficiently large framework for most of the problems we discuss in this book.

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Notes

  1. 1.

    Felix Hausdorff, German mathematician, 1868–1942.

  2. 2.

    René-Louis Baire, French mathematician, 1874–1932.

  3. 3.

    Heinrich Eduard Heine, German mathematician, 1821–1881; Émile Borel, French mathematician, 1871–1956.

  4. 4.

    Frigyes Riesz, Hungarian mathematician, 1880–1956.

  5. 5.

    Cesare Arzelà, Italian mathematician, 1847–1912; Giulio Ascoli, Italian mathematician, 1843–1896.

  6. 6.

    Giuseppe Peano, Italian mathematician, 1858–1932.

  7. 7.

    Leonhard Euler, Swiss mathematician, physicist, astronomer, logician, and engineer, 1707–1783.

  8. 8.

    Stefan Banach, Polish mathematician, 1892–1945.

  9. 9.

    Isidor P. Natanson, Russian mathematician, 1906–1963.

References

  1. Godunov, A.N.: The Peano theorem in Banach spaces. Funct. Anal. Appl. 9(1), 53–55 (1975)

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  2. Natanson, I.P.: Theory of Functions of a Real Variable. Editura tehnică, Bucharest (1957, in Romanian)

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  3. Shilov, G.Ye.: Mathematical Analysis. A Special Course. Pergamon Press, Oxford (1965)

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Moroşanu, G. (2019). Metric Spaces. In: Functional Analysis for the Applied Sciences. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-030-27153-4_2

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