Uniqueness of unconditional bases in quasi-banach spaces with applications to hardy spaces, II

1997 ◽  
Vol 97 (1) ◽  
pp. 253-280 ◽  
Author(s):  
P. Wojtaszczyk
Keyword(s):  
Banach Spaces ◽  
Hardy Spaces ◽  
Unconditional Bases

Uniqueness of unconditional bases in quasi-banach spaces with applications to Hardy spaces

1990 ◽  
Vol 72 (3) ◽  
pp. 299-311 ◽  
Author(s):  
N. J. Kalton ◽  
C. Leranoz ◽  
P. Wojtaszczyk
Keyword(s):  
Banach Spaces ◽  
Hardy Spaces ◽  
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 Compact diagonal linear operators on Banach spaces with unconditional bases

1993 ◽  
Vol 16 (4) ◽  
pp. 823-824
Author(s):  
Yun Sung Choi ◽  
Sung Guen Kim
Keyword(s):  
Linear Operator ◽  
Banach Spaces ◽  
Uniform Continuity ◽  
Linear Operators ◽  
Unconditional Bases

LetEandFbe Banach spaces with equivalent normalized unconditional bases. In this note we show that a bounded diagonal linear operatorT:E→Fis compact if and only if its entries tend to0, using the concept of weak uniform continuity.

Uniqueness of unconditional bases in quasi-Banach spaces

2003 ◽  
pp. 15-27 ◽  
Author(s):  
Fernando Albiac ◽  
Nigel J. Kalton ◽  
Camino Leránoz
Keyword(s):  
Banach Spaces ◽  
Unconditional Bases

scholarly journals Daugavet- and delta-points in Banach spaces with unconditional bases

2021 ◽  
Vol 8 (13) ◽  
pp. 379-398
Author(s):  
Trond A. Abrahamsen ◽  
Vegard Lima ◽  
André Martiny ◽  
Stanimir Troyanski
Keyword(s):  
Banach Spaces ◽  
Unconditional Bases

On banach spaces with unconditional bases

1974 ◽  
Vol 17 (1) ◽  
pp. 84-93 ◽  
Author(s):  
L. Tzafriri
Keyword(s):  
Banach Spaces ◽  
Unconditional Bases

Uniform Kadec–Klee–Huff properties of vector-valued Hardy spaces

1993 ◽  
Vol 114 (1) ◽  
pp. 25-30 ◽  
Author(s):  
P. N. Dowling ◽  
C. J. Lennard
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Hardy Spaces ◽  
Weak Topology ◽  
Uniformly Convex ◽  
Vector Valued

AbstractIn [8] Partington showed that a Banach space X is uniformly convex if and only if Lp([0, 1], X) has the uniform Kadec–Klee–Huff property with respect to the weak topology (UKKH (weak)), where 1 < p < ∞. In this note we will characterize the Banach spaces X such that HP(D, X) has UKKH (weak), where 1 ≤ p < ∞. Similar results for UKKH (weak*) are also obtained. These results (and proofs) are quite different from Partington's result (and proof).

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