scholarly journals Fully and Strongly Almost Summing Multilinear Mappings

2006 ◽  
Vol 36 (2) ◽  
pp. 683-698 ◽  
Author(s):  
Daniel M. Pellegrino ◽  
Marcela L.V. Souza
2012 ◽  
Vol 60 (4) ◽  
pp. 397-413 ◽  
Author(s):  
Daniel Pellegrino ◽  
Joilson Ribeiro

Author(s):  
B.M.C. Maguina ◽  
J.M. Ramos ◽  
H.F.C. Maguina
Keyword(s):  

Author(s):  
Raffaella Cilia ◽  
Joaquín M. Gutiérrez
Keyword(s):  

Nonlinearity ◽  
2019 ◽  
Vol 32 (12) ◽  
pp. 4713-4728 ◽  
Author(s):  
Antoine Gautier ◽  
Francesco Tudisco
Keyword(s):  

2011 ◽  
Vol 2 (1) ◽  
pp. 128-138 ◽  
Author(s):  
Dahmane Achour ◽  
Mohamed Tahar Belaib

1985 ◽  
Vol 28 (3) ◽  
pp. 317-320
Author(s):  
C. K. Fong

AbstractThe result of S. Grabiner [5] on range inclusion is applied for establishing the following two theorems: 1. For A, B ∊ L(H), two operators on the Hilbert space H, we have DBC0(H) ⊆ DAL(H) if and only if DBC1(H) ⊆ DAL(H), where DA is the inner derivation which sends S ∊ L(H) to AS - SA, C1(H) is the ideal of trace class operators and C0(H) is the ideal of finite rank operators. 2. (Due to Fialkow [3]) For A, B ∊ L(H), we write T(A, B) for the map on L(H) sending S to AS - SB. Then the range of T(A, B)is the whole L(H) if it includes all finite rank operators L(H).


2015 ◽  
Vol 484 ◽  
pp. 63-85 ◽  
Author(s):  
Mahdi Dehghani ◽  
Mohsen Kian ◽  
Yuki Seo

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