Unconditional bases for complemented subspaces of Tsirelson's space

1989 ◽  
pp. 82-94
Author(s):  
Peter G. Casazza ◽  
Thaddeus J. Shura
Keyword(s):  
Complemented Subspaces ◽  
Unconditional Bases

scholarly journals 1-Complemented Subspaces of Spaces With 1-Unconditional Bases

1997 ◽  
Vol 49 (6) ◽  
pp. 1242-1264 ◽  
Author(s):  
Beata Randrianantoanina
Keyword(s):  
Sequence Space ◽  
Lorentz Space ◽  
Linear Span ◽  
Full Description ◽  
Monotone Sequence ◽  
Closed Linear Span ◽  
Complex Spaces ◽  
Complemented Subspaces ◽  
Unconditional Bases ◽  
Constant Coefficients

AbstractWe prove that if X is a complex strictly monotone sequence space with 1-unconditional basis, Y ⊆ X has no bands isometric to ℓ22 and Y is the range of norm-one projection from X, then Y is a closed linear span a family of mutually disjoint vectors in X.We completely characterize 1-complemented subspaces and norm-one projections in complex spaces ℓp(ℓq) for 1 ≤ p,q > ∞.Finally we give a full description of the subspaces that are spanned by a family of disjointly supported vectors and which are 1-complemented in (real or complex) Orlicz or Lorentz sequence spaces. In particular if an Orlicz or Lorentz space X is not isomorphic to ℓp for some 1 ≤ p,q > ∞ then the only subspaces of X which are 1-complemented and disjointly supported are the closed linear spans of block bases with constant coefficients.

scholarly journals On complemented subspaces and unconditional bases in $l_{p}+l_{q}$

1973 ◽  
Vol 47 (3) ◽  
pp. 197-206 ◽  
Author(s):  
P. Wojtaszczyk
Keyword(s):  
Complemented Subspaces ◽  
Unconditional Bases

scholarly journals Subspaces and quotients of Banach spaces with shrinking unconditional bases

2011 ◽  
Vol 185 (1) ◽  
pp. 375-388 ◽  
Author(s):  
W. B. Johnson ◽  
Bentuo Zheng
Keyword(s):  
Banach Spaces ◽  
Unconditional Bases

scholarly journals On complemented subspaces of sums and products of Banach spaces

1996 ◽  
Vol 124 (7) ◽  
pp. 2005-2012
Author(s):  
M. I. Ostrovskii
Keyword(s):  
Banach Spaces ◽  
Complemented Subspaces

Some classes of Banach spaces and complemented subspaces of operators

2019 ◽  
Vol 4 (2) ◽  
pp. 369-387 ◽  
Author(s):  
Ioana Ghenciu
Keyword(s):  
Banach Spaces ◽  
Complemented Subspaces

On complemented subspaces of non-Archimedean Köthe spaces

2019 ◽  
Vol 470 (1) ◽  
pp. 401-412
Author(s):  
Wiesław Śliwa ◽  
Agnieszka Ziemkowska
Keyword(s):  
Complemented Subspaces ◽  
Köthe Spaces

scholarly journals A remark on complemented subspaces of unitary matrix spaces

1980 ◽  
Vol 79 (4) ◽  
pp. 601-601
Author(s):  
Jonathan Arazy
Keyword(s):  
Unitary Matrix ◽  
Complemented Subspaces ◽  
Matrix Spaces

scholarly journals Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$

1962 ◽  
Vol 21 (2) ◽  
pp. 161-176 ◽  
Author(s):  
M. Kadec ◽  
A. Pełczyński
Keyword(s):  
Lacunary Sequences ◽  
Complemented Subspaces
Sign in / Sign up

Export Citation Format

Share Document