## 33 Citations

Selections For Metric Projections

- Mathematics
- 1992

A review is given of conditions which characterise when the metric projection onto a proximinal subspace of a normed linear space has a selection which is continuous, (pointwise) Lipschitz…

Characterizations of continuous and Lipschitz continuous metric selections in normed linear spaces

- Mathematics, Computer Science
- 1989

Nonexpansive selections of metric projections in spaces of continuous functions

- MathematicsJ. Approx. Theory
- 2005

NORM-ONE PROJECTIONS IN BANACH SPACES

- Mathematics
- 2001

This is a survey of results about norm-one projections and 1-
complemented subspaces in K¨othe function spaces and Banach sequence spaces.
The historical development of the theory is presented from…

Norm-one projections onto subspaces of finite codimension in ℓ1 andc0

- Mathematics
- 1991

We study 1-complemented subspaces of the sequence spaces ℓ1 andc0. In ℓ1, 1-complemented subspaces of codimensionn are those which can be obtained as intersection ofn 1-complemented hyperplanes.…

The existence of linear selection and the quotient lifting property

- MathematicsIndian Journal of Pure and Applied Mathematics
- 2021

Lifting properties for Banach spaces are studied. An alternate version of the lifting property due to Lindenstrass and Tzafriri is proposed and a characterization, up to isomorphism, is given. The…

The contraction linear metric projections inLp spaces

- Mathematics
- 2002

In this paper, we study the contraction linearity for metric projection in Lp spaces. A geometrical property of a subspace Y of Lp is given on which Py is a contraction projection.

## References

SHOWING 1-10 OF 32 REFERENCES

Pointwise-Lipschitz-continuous selections for the metric projection

- Mathematics
- 1980

In a series of papers the last two authors have obtained a complete characterization of those finite-dimensional subspaces G of C[a,b] for which there exists a continuous selection for the metric…

Continuous Selections and Approximate Selection for Set-Valued Mappings and Applications to Metric Projections

- Mathematics
- 1983

Two new continuity properties for set-valued mappings are defined which are weaker than lower semicontinuity. One of these properties characterizes when approximate selections exist. A few selection…

Some complemented function spaces in C(X)

- Mathematics
- 1968

et X and Z be compact Hausdorff spaces, and let P be a linear subspace of C(X) which is isometrically isomorphic to C(Z). In this paper conditions, some necessary and some sufficient, are presented…

On the complemented subspaces problem

- Mathematics
- 1971

A Banach space is isomorphic to a Hilbert space provided every closed subspace is complemented. A conditionally σ-complete Banach lattice is isomorphic to anLp-space (1≤p<∞) or toc0(Γ) if every…

INVARIANT SUBSPACES OF COMPLETELY CONTINOUS OPERATIONS

- Mathematics
- 1954

Abstract : A proof is presented of the theorem that if B is a Banach space and if T is a completely continuous operator in B, there then exist proper invariant subspaces of T. The proof assumes…