On the multiplicity points of monotone operators on separable Banach spaces

Libor Veselý

Commentationes Mathematicae Universitatis Carolinae (1986)

  • Volume: 027, Issue: 3, page 551-570
  • ISSN: 0010-2628

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Veselý, Libor. "On the multiplicity points of monotone operators on separable Banach spaces." Commentationes Mathematicae Universitatis Carolinae 027.3 (1986): 551-570. <http://eudml.org/doc/17483>.

@article{Veselý1986,
author = {Veselý, Libor},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {-convex functions; monotone operator; set of multiplicity points; countable union of Lipschitz hypersurfaces; finite convexity on lines; subdifferential of a proper convex function},
language = {eng},
number = {3},
pages = {551-570},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the multiplicity points of monotone operators on separable Banach spaces},
url = {http://eudml.org/doc/17483},
volume = {027},
year = {1986},
}

TY - JOUR
AU - Veselý, Libor
TI - On the multiplicity points of monotone operators on separable Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1986
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 027
IS - 3
SP - 551
EP - 570
LA - eng
KW - -convex functions; monotone operator; set of multiplicity points; countable union of Lipschitz hypersurfaces; finite convexity on lines; subdifferential of a proper convex function
UR - http://eudml.org/doc/17483
ER -

References

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  1. N. ARONSZAJN, Differentiability of Lipschitzian mappings between Banach spaces, Studia Kath. 57 (1976), 147-190. (1976) Zbl0342.46034MR0425608
  2. A. W. ROBERTS D. E. VARBERG, Convex functions, 1973, New York, London, 1st edition. MR0442824
  3. R. T. ROCKAFELLAR, Convex analysis, 1973, Moscow, 1st edition, Russian translation. Zbl1011.49013
  4. R. T. ROCKAFELLAR, Characterization of the subdifferentials of convex functions, Pacific J. Math. 17 (1966), 497-510. (1966) Zbl0145.15901MR0193549
  5. S. SAKS, Theory of the integral, 1937, Warszawa, 2nd edition. Zbl0017.30004
  6. L. ZAJÍČEK, On the differentiation of convex functions in finite and infinite dimensional spaces, Czechoslovak Math. J. 29 (1979), 340-348. (1979) MR0536060
  7. L. ZAJÍČEK, On the points of multiplicity of monotone operators, Comment. Math. Univ. Carolinae 19 (1978), 179-189. (1978) MR0493541
  8. E. H. ZARANTONELLO, Dense single-valuedness of monotone operators, Israel J. Math. 15 (1973), 158-166. (1973) Zbl0274.47028MR0324490

Citations in EuDML Documents

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  1. Libor Veselý, On the multiplicity points of monotone operators on separable Banach spaces. II.
  2. Jakub Duda, Curves with finite turn
  3. Libor Veselý, Luděk Zajíček, On vector functions of bounded convexity
  4. Jakub Duda, Luděk Zajíček, Curves in Banach spaces which allow a C 1 , BV parametrization or a parametrization with finite convexity
  5. Paolo Albano, Piermarco Cannarsa, Structural properties of singularities of semiconcave functions
  6. Luděk Zajíček, On Lipschitz and d.c. surfaces of finite codimension in a Banach space

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