Add to ORKGAbstract. For a complete measure space (X,Σ,µ), we give conditions which force Lp(X,µ), for 1 ≤ p < ∞, to be isometrically isomorphic to p(Γ) for some index set Γ which depends only on (X,µ). Also, we give some new characterizations which yield the inclusion Lp(X,µ) ⊂ Lq(X,µ) for 0<p < q
AbstractThe aim of the paper is to study the isomorphic structure of the weak Lp space Lp,∞(Ω,Σ,μ) w...
We prove the result stated in the title. It comes as a consequence of the fact that the space Lp n L...
We prove the result stated in the title. It comes as a consequence of the fact that the space Lp n L...
Abstract. For a complete measure space (X,Σ,µ), we give conditions which force Lp(X,µ), for 1 ≤ p &l...
We prove that every n-point subset of lp (1 ⩽ p ⩽ ∞) embeds isometrically into lpm, where lpm, and t...
AbstractLet (Ω, ∑, μ) be a finite measure space and X a separable Banach space. We characterize the ...
Abstract. We present three results on isometric embeddings of a (closed, linear) subspace X of Lp = ...
Dedicated to the memory of Joram Lindenstrauss Enflo and Rosenthal [4] proved that ℓp(ℵ1), 1 < p ...
Isomorphisms between Lq and Lp spaces exist for some ratios between p and q. For some of other ratio...
Contains fulltext : 60703.pdf (publisher's version ) (Open Access)RU Radboud Unive...
AbstractLet (Ω, ∑, μ) be a finite measure space and X a separable Banach space. We characterize the ...
AbstractAssume that (X,Σ,μ) is a measure space and p1,…,pn, r>0. We prove that {(f1,…,fn)∈Lp1×⋯×Lpn:...
We provide a representation of elements of the space lp(A,X) for a locally convex space X and 1≤p<∞ ...
Abstract. The aim of the paper is to study the isomorphic structure of the weak Lp space Lp,∞(Ω,Σ, µ...
It is proved here that an isometry on the subset of all positive functions of L1⋂Lp(ℝ) can be charac...
AbstractThe aim of the paper is to study the isomorphic structure of the weak Lp space Lp,∞(Ω,Σ,μ) w...
We prove the result stated in the title. It comes as a consequence of the fact that the space Lp n L...
We prove the result stated in the title. It comes as a consequence of the fact that the space Lp n L...
Abstract. For a complete measure space (X,Σ,µ), we give conditions which force Lp(X,µ), for 1 ≤ p &l...
We prove that every n-point subset of lp (1 ⩽ p ⩽ ∞) embeds isometrically into lpm, where lpm, and t...
AbstractLet (Ω, ∑, μ) be a finite measure space and X a separable Banach space. We characterize the ...
Abstract. We present three results on isometric embeddings of a (closed, linear) subspace X of Lp = ...
Dedicated to the memory of Joram Lindenstrauss Enflo and Rosenthal [4] proved that ℓp(ℵ1), 1 < p ...
Isomorphisms between Lq and Lp spaces exist for some ratios between p and q. For some of other ratio...
Contains fulltext : 60703.pdf (publisher's version ) (Open Access)RU Radboud Unive...
AbstractLet (Ω, ∑, μ) be a finite measure space and X a separable Banach space. We characterize the ...
AbstractAssume that (X,Σ,μ) is a measure space and p1,…,pn, r>0. We prove that {(f1,…,fn)∈Lp1×⋯×Lpn:...
We provide a representation of elements of the space lp(A,X) for a locally convex space X and 1≤p<∞ ...
Abstract. The aim of the paper is to study the isomorphic structure of the weak Lp space Lp,∞(Ω,Σ, µ...
It is proved here that an isometry on the subset of all positive functions of L1⋂Lp(ℝ) can be charac...
AbstractThe aim of the paper is to study the isomorphic structure of the weak Lp space Lp,∞(Ω,Σ,μ) w...
We prove the result stated in the title. It comes as a consequence of the fact that the space Lp n L...
We prove the result stated in the title. It comes as a consequence of the fact that the space Lp n L...