On the points of multivaluedness of metric projections in separable Banach spaces

Luděk Zajíček

Commentationes Mathematicae Universitatis Carolinae (1978)

  • Volume: 019, Issue: 3, page 513-523
  • ISSN: 0010-2628

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Zajíček, Luděk. "On the points of multivaluedness of metric projections in separable Banach spaces." Commentationes Mathematicae Universitatis Carolinae 019.3 (1978): 513-523. <http://eudml.org/doc/16920>.

@article{Zajíček1978,
author = {Zajíček, Luděk},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {3},
pages = {513-523},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the points of multivaluedness of metric projections in separable Banach spaces},
url = {http://eudml.org/doc/16920},
volume = {019},
year = {1978},
}

TY - JOUR
AU - Zajíček, Luděk
TI - On the points of multivaluedness of metric projections in separable Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1978
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 019
IS - 3
SP - 513
EP - 523
LA - eng
UR - http://eudml.org/doc/16920
ER -

References

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  1. N. ARONSZAJN, Differentiability of Lipschitzian mappings between Banach spaces, Studia Math. 57 (1976), 147-190. (1976) Zbl0342.46034MR0425608
  2. P. ERDÖS, On the Hausdorff dimension of some sets in Euclidean space, Bull. Amer. Math. Soc. 52 (1946), 107-109. (1946) MR0015144
  3. L. GROSS, Potential theory on Hilbert space, J. Functional Analysis 1 (1967), 123-181. (1967) Zbl0165.16403MR0227747
  4. J. P. R. CHRISTENSEN, Topology and Borel Structure, North-Holland Mathematics Studies 10, 1974. (1974) Zbl0273.28001MR0348724
  5. S. SAKS, Theory of the Integral, New York 1937. (1937) Zbl0017.30004
  6. H. SATO, Gaussian measures on a Banach space and abstract Wiener spaces, Nagoya Math. J. 36 (1969), 65-83. (1969) MR0249565
  7. S. STEČKIN, Approximation properties of sets in normed linear spaces, Rev. Math. Pures Apl. 8 (1963), 5-18 (Russian). (1963) MR0155168
  8. L. ZAJÍČEK, On the points of multiplicity of monotone operators, Comment. Math. Univ. Carolinae 19 (1978), 179-189. (1978) MR0493541

Citations in EuDML Documents

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  1. Luděk Zajíček, On differentiation of metric projections in finite dimensional Banach spaces
  2. Luděk Zajíček, A remark on functions continuous on all lines
  3. Luděk Zajíček, Smallness of sets of nondifferentiability of convex functions in non-separable Banach spaces
  4. Luděk Zajíček, Differentiability of the distance function and points of multi-valuedness of the metric projection in Banach space
  5. Luděk Zajíček, On Lipschitz and d.c. surfaces of finite codimension in a Banach space

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