Extension of positive operators in Lp-spaces

1982 ◽  
pp. 84-104
Author(s):  
Klaus Donner
Keyword(s):  
Positive Operators ◽  
Lp Spaces

Spectral Exponent of Finite Sums of Weighted Positive Operators in Lp-Spaces

Positivity ◽  
2007 ◽  
Vol 11 (4) ◽  
pp. 549-562
Author(s):  
Urszula Ostaszewska ◽  
Krzysztof Zajkowski
Keyword(s):  
Positive Operators ◽  
Spectral Exponent ◽  
Lp Spaces ◽  
Finite Sums

scholarly journals Approximation theorems for positive operators on Lp-spaces

1990 ◽  
Vol 63 (2) ◽  
pp. 123-136 ◽  
Author(s):  
Ryszard Grza̧ślewicz
Keyword(s):  
Positive Operators ◽  
Lp Spaces ◽  
Approximation Theorems

scholarly journals 2-D TM GPR Imaging Through a Multiscaling Multifrequency Approach in Lp Spaces

2021 ◽  
pp. 1-11
Author(s):  
Marco Salucci ◽  
Claudio Estatico ◽  
Alessandro Fedeli ◽  
Giacomo Oliveri ◽  
Matteo Pastorino ◽  
...  
Keyword(s):  
Lp Spaces

scholarly journals Local rigidity for actions of Kazhdan groups on noncommutative Lp-spaces

2015 ◽  
Vol 26 (08) ◽  
pp. 1550064
Author(s):  
Bachir Bekka
Keyword(s):  
Von Neumann Algebra ◽  
Regular Representation ◽  
Von Neumann ◽  
Lp Spaces ◽  
Local Rigidity ◽  
Left Regular Representation ◽  
Left Regular ◽  
Property T ◽  
Finite Factor ◽  
Finite Index Subgroup

Let Γ be a discrete group and 𝒩 a finite factor, and assume that both have Kazhdan's Property (T). For p ∈ [1, +∞), p ≠ 2, let π : Γ →O(Lp(𝒩)) be a homomorphism to the group O(Lp(𝒩)) of linear bijective isometries of the Lp-space of 𝒩. There are two actions πl and πr of a finite index subgroup Γ+ of Γ by automorphisms of 𝒩 associated to π and given by πl(g)x = (π(g) 1)*π(g)(x) and πr(g)x = π(g)(x)(π(g) 1)* for g ∈ Γ+ and x ∈ 𝒩. Assume that πl and πr are ergodic. We prove that π is locally rigid, that is, the orbit of π under O(Lp(𝒩)) is open in Hom (Γ, O(Lp(𝒩))). As a corollary, we obtain that, if moreover Γ is an ICC group, then the embedding g ↦ Ad (λ(g)) is locally rigid in O(Lp(𝒩(Γ))), where 𝒩(Γ) is the von Neumann algebra generated by the left regular representation λ of Γ.

Convexity Inequalities for Positive Operators

Positivity ◽  
2006 ◽  
Vol 11 (1) ◽  
pp. 57-68 ◽  
Author(s):  
Markus Haase
Keyword(s):  
Positive Operators

Tauberian theorems in a Banach lattice, with applications to the LP spaces

1954 ◽  
Vol 50 (2) ◽  
pp. 242-249
Author(s):  
D. C. J. Burgess
Keyword(s):  
Banach Space ◽  
Banach Lattice ◽  
Laplace Transforms ◽  
Tauberian Theorems ◽  
General Argument ◽  
Arbitrary Banach Space ◽  
Lp Spaces ◽  
Special Case

In a previous paper (2) of the author, there was given a treatment of Tauberian theorems for Laplace transforms with values in an arbitrary Banach space. Now, in § 2 of the present paper, this kind of technique is applied to the more special case of Laplace transforms with values in a Banach lattice, and investigations are made on what additional results can be obtained by taking into account the existence of an ordering relation in the space. The general argument is again based on Widder (5) to which frequent references are made.

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