scholarly journals Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support

2016 ◽  
Vol 144 (10) ◽  
pp. 4471-4485 ◽  
Author(s):  
William B. Johnson ◽  
Tomasz Kania ◽  
Gideon Schechtman
Keyword(s):  
Banach Spaces ◽  
Countable Support ◽  
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

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

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.

scholarly journals Complemented subspaces ofp-adic second dual Banach spaces

1995 ◽  
Vol 18 (3) ◽  
pp. 437-442
Author(s):  
Takemitsu Kiyosawa
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Complemented Subspaces ◽  
Complete Field ◽  
Second Dual

LetKbe a non-archimedean non-trivially valued complete field. In this paper we study Banach spaces overK. Some of main results are as follows: (1) The Banach spaceBC((l∞)1)has an orthocomplemented subspace linearly homeomorphic toc0. (2) The Banach spaceBC((c0)1)has an orthocomplemented subspace linearly homeomorphic tol∞.

Complemented subspaces of sums and products of banach spaces

1988 ◽  
Vol 153 (1) ◽  
pp. 175-190 ◽  
Author(s):  
G. Metafune ◽  
V. B. Moscatelli
Keyword(s):  
Banach Spaces ◽  
Complemented Subspaces

Complemented Subspaces of Products of Banach Spaces

1989 ◽  
Vol 316 (1) ◽  
pp. 215 ◽  
Author(s):  
Pawel Domanski ◽  
Augustyn Ortynski
Keyword(s):  
Banach Spaces ◽  
Complemented Subspaces

scholarly journals On pseudo-complemented subspaces of Banach spaces

1973 ◽  
Vol 13 (3) ◽  
pp. 223-232 ◽  
Author(s):  
Ivan Singer
Keyword(s):  
Banach Spaces ◽  
Complemented Subspaces
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