Multiplication operators on the space of Rademacher series in rearrangement invariant spaces

2003 ◽  
Vol 134 (01) ◽  
Author(s):  
GUILLERMO P. CURBERA ◽  
VLADIMIR A. RODIN
Keyword(s):  
Multiplication Operators ◽  
Rearrangement Invariant Spaces ◽  
Rademacher Series ◽  
Invariant Spaces

scholarly journals About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system

2001 ◽  
Vol 25 (7) ◽  
pp. 451-465 ◽  
Author(s):  
Sergey V. Astashkin
Keyword(s):  
Invariant Function ◽  
Function Spaces ◽  
Interpolation Theory ◽  
Rearrangement Invariant Spaces ◽  
Rademacher System ◽  
Rearrangement Invariant Function Spaces ◽  
One To One ◽  
Rademacher Series ◽  
Invariant Spaces

The Rademacher series in rearrangement invariant function spaces “close” to the spaceL∞are considered. In terms of interpolation theory of operators, a correspondence between such spaces and spaces of coefficients generated by them is stated. It is proved that this correspondence is one-to-one. Some examples and applications are presented.

On orthogonality in nonseparable rearrangement invariant spaces

2021 ◽  
Vol 212 (11) ◽  
Author(s):  
Sergei Vladimirovich Astashkin ◽  
Evgenii Mikhailovich Semenov
Keyword(s):  
Rearrangement Invariant Spaces ◽  
Invariant Spaces

Orthogonal Elements in Nonseparable Rearrangement Invariant Spaces

2020 ◽  
Vol 102 (3) ◽  
pp. 449-450
Author(s):  
S. V. Astashkin ◽  
E. M. Semenov
Keyword(s):  
Rearrangement Invariant Spaces ◽  
Invariant Spaces
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