4 citations · 14 across the 9 of their papers we have counts for
9 papers
Optimal upper and lower sequence spaces with applications
Sergey V. Astashkin, Per G. Nilsson
We study the optimal upper and lower sequence spaces that can be assigned to each Banach lattice . These spaces are symmetric, have the Fatou property and the unit v…
H-infinity and Complex Interpolation
Jaak Peetre, Per G. Nilsson
This note is an (exact) copy of the report of Jaak Peetre, "H-infinity and Complex Interpolation". Published as Technical Report, Lund (1981). Some more recent general references h…
Generalizing Ovchinnikovs Theorem
Jaak Peetre, Per G. Nilsson
This note is an (exact) copy of the report of Jaak Peetre, "Generalizing Ovchinnikov's Theorem". Published as Technical Report, Lund (1981). Some more recent general references hav…
S-Decomposable Banach Lattices, Optimal Sequence Spaces and Interpolation
Sergey V. Astashkin, Per G. Nilsson
We investigate connections between upper/lower estimates for Banach lattices and the notion of relative s-decomposability, which has roots in interpolation theory. To get a charact…
Banach Couples. I. Elementary Theory
Jaak Peetre, Per Nilsson
This note is an (exact) copy of the report of Jaak Peetre, "Banach Couples. I. Elementary Theory". Published as Technical Report, Lund (1971). Some more recent general references h…
A description of interpolation spaces for quasi-Banach couples by real -method
Sergey V. Astashkin, Per G. Nilsson
The main aim of this paper is to develop a general approach, which allows to extend the basics of Brudnyi-Kruglyak interpolation theory to the realm of quasi-Banach lattices. We pr…
Arazy-Cwikel property for quasi-Banach couples
Sergey V. Astashkin, Per G. Nilsson
The main result of this paper establishes that the known Arazy-Cwikel property holds for classes of uniformly K-monotone spaces in the quasi-Banach setting provided that the initia…
Arazy-Cwikel and Calderón-Mityagin type properties of the couples ,
Sergey V. Astashkin, Michael Cwikel, Per G. Nilsson
We establish Arazy-Cwikel type properties for the family of couples , , and show that is a Calderón-Mityagin couple i…
An alternative characterization of normed interpolation spaces between and
Michael Cwikel, Per G. Nilsson
Given a constant , we study the following property of a normed sequence space : ===================== If is an element o…