Theorem 3 (pages 562–563): Krein, M.; Šmulian, V. (1940). „On regularly convex sets in the space conjugate to a Banach space”. Annals of Mathematics (2), Second series. 41. стр. 556—583. JSTOR1968735. MR2009. doi:10.2307/1968735.
For the commutativity of Minkowski addition and convexification, see Theorem 1.1.2 (pages 2–3) in Schneider; this reference discusses much of the literature on the convex hulls of Minkowski sumsets in its "Chapter 3 Minkowski addition" (pages 126–196): Schneider, Rolf (1993). Convex bodies: The Brunn–Minkowski theory. Encyclopedia of mathematics and its applications. 44. Cambridge: Cambridge University Press. стр. xiv+490. ISBN978-0-521-35220-8. MR1216521.
Chapter 1: Schneider, Rolf (1993). Convex bodies: The Brunn–Minkowski theory. Encyclopedia of mathematics and its applications. 44. Cambridge: Cambridge University Press. стр. xiv+490. ISBN978-0-521-35220-8. MR1216521.
Theorem 3 (pages 562–563): Krein, M.; Šmulian, V. (1940). „On regularly convex sets in the space conjugate to a Banach space”. Annals of Mathematics (2), Second series. 41. стр. 556—583. JSTOR1968735. MR2009. doi:10.2307/1968735.
jstor.org
Theorem 3 (pages 562–563): Krein, M.; Šmulian, V. (1940). „On regularly convex sets in the space conjugate to a Banach space”. Annals of Mathematics (2), Second series. 41. стр. 556—583. JSTOR1968735. MR2009. doi:10.2307/1968735.
wikipedia.org
en.wikipedia.org
Theorem 3 (pages 562–563): Krein, M.; Šmulian, V. (1940). „On regularly convex sets in the space conjugate to a Banach space”. Annals of Mathematics (2), Second series. 41. стр. 556—583. JSTOR1968735. MR2009. doi:10.2307/1968735.
For the commutativity of Minkowski addition and convexification, see Theorem 1.1.2 (pages 2–3) in Schneider; this reference discusses much of the literature on the convex hulls of Minkowski sumsets in its "Chapter 3 Minkowski addition" (pages 126–196): Schneider, Rolf (1993). Convex bodies: The Brunn–Minkowski theory. Encyclopedia of mathematics and its applications. 44. Cambridge: Cambridge University Press. стр. xiv+490. ISBN978-0-521-35220-8. MR1216521.
Chapter 1: Schneider, Rolf (1993). Convex bodies: The Brunn–Minkowski theory. Encyclopedia of mathematics and its applications. 44. Cambridge: Cambridge University Press. стр. xiv+490. ISBN978-0-521-35220-8. MR1216521.