On complemented subspaces of H 1 and VMO

2006 ◽  
pp. 113-125 ◽  
Author(s):  
Paul F. X. Müller ◽  
Gideon Schechtman
Keyword(s):  
Complemented Subspaces

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

Closed Complemented Subspaces of Banach Spaces and Existence of Bounded Quasi-linear Generalized Inverses

2017 ◽  
Vol 38 (11) ◽  
pp. 1490-1506
Author(s):  
Liu Guanqi ◽  
Henryk Hudzik ◽  
Wang Yuwen
Keyword(s):  
Banach Spaces ◽  
Generalized Inverses ◽  
Complemented Subspaces

scholarly journals Completely $1$-complemented subspaces of Schatten spaces

2008 ◽  
Vol 361 (02) ◽  
pp. 849-887 ◽  
Author(s):  
Christian Le Merdy ◽  
Éric Ricard ◽  
Jean Roydor
Keyword(s):  
Complemented Subspaces

Banach Spaces

2021 ◽  
pp. 245-289
Author(s):  
Adel N. Boules
Keyword(s):  
Banach Spaces ◽  
Uniform Boundedness ◽  
Linear Transformations ◽  
Closed Graph Theorem ◽  
Complemented Subspaces ◽  
Good Account ◽  
Banach Theorem ◽  
Schauder Bases ◽  
Uniform Boundedness Principle ◽  
Adjoint Operators

The first four sections of this chapter form its core and include classical topics such as bounded linear transformations, the open mapping theorem, the closed graph theorem, the uniform boundedness principle, and the Hahn-Banach theorem. The chapter includes a good number of applications of the four fundamental theorems of functional analysis. Sections 6.5 and 6.6 provide a good account of the properties of the spectrum and adjoint operators on Banach spaces. They may be largely bypassed, since the treatment of the corresponding topics for operators on Hilbert spaces in chapter 7 is self-contained. The section on weak topologies is more advanced and may be omitted if a brief introduction is the goal. The chapter is enriched by such topics as the best polynomial approximation, the Hilbert cube, Gelfand’s theorem, Schauder bases, complemented subspaces, and the Banach-Alaoglu theorem.

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