The Spaces of Operators $$L\left( {\mathfrak{X}_\gamma } \right)$$ , $$L\left( {X,\mathfrak{X}\omega _1 } \right)$$

2005 ◽  
pp. 87-98
Keyword(s):  
Spaces Of Operators

scholarly journals Self-adjoint extensions of bipartite Hamiltonians

2021 ◽  
pp. 1-15
Author(s):  
Daniel Lenz ◽  
Timon Weinmann ◽  
Melchior Wirth
Keyword(s):  
Spaces Of Operators ◽  
Boundary Dynamics

Abstract We compute the deficiency spaces of operators of the form $H_A{\hat {\otimes }} I + I{\hat {\otimes }} H_B$ , for symmetric $H_A$ and self-adjoint $H_B$ . This enables us to construct self-adjoint extensions (if they exist) by means of von Neumann's theory. The structure of the deficiency spaces for this case was asserted already in Ibort et al. [Boundary dynamics driven entanglement, J. Phys. A: Math. Theor.47(38) (2014) 385301], but only proven under the restriction of $H_B$ having discrete, non-degenerate spectrum.

Classification of spaces of operators of finite types

1976 ◽  
Vol 6 (4) ◽  
pp. 471-474
Author(s):  
V. P. Chernov
Keyword(s):  
Spaces Of Operators

scholarly journals Spaces of operators and c0

2001 ◽  
Vol 145 (3) ◽  
pp. 213-218 ◽  
Author(s):  
P. Lewis
Keyword(s):  
Spaces Of Operators

Supercyclicity in Spaces of Operators

2015 ◽  
Vol 70 (1-2) ◽  
pp. 95-107 ◽  
Author(s):  
Manjul Gupta ◽  
Aneesh Mundayadan
Keyword(s):  
Spaces Of Operators

Uniqueness of Preduals in Spaces of Operators

2014 ◽  
Vol 57 (4) ◽  
pp. 810-813 ◽  
Author(s):  
G. Godefroy
Keyword(s):  
Linear Subspace ◽  
Closed Linear Subspace ◽  
Reflexive Space ◽  
Spaces Of Operators ◽  
Weak Star

AbstractWe show that if E is a separable reflexive space, and L is a weak-star closed linear subspace of L(E) such that L ∩ K(E) is weak-star dense in L, then L has a unique isometric predual. The proof relies on basic topological arguments.

scholarly journals Banach Lattice Structures and Concavifications in Banach Spaces

Mathematics ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 127
Author(s):  
Lucia Agud ◽  
Jose Manuel Calabuig ◽  
Maria Aranzazu Juan ◽  
Enrique A. Sánchez Pérez
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Function Space ◽  
Lattice Structure ◽  
Banach Function Space ◽  
Finite Measure ◽  
Multiplication Operators ◽  
Spaces Of Operators ◽  
Finite Measure Space ◽  
Local Properties

Let ( Ω , Σ , μ ) be a finite measure space and consider a Banach function space Y ( μ ) . We say that a Banach space E is representable by Y ( μ ) if there is a continuous bijection I : Y ( μ ) → E . In this case, it is possible to define an order and, consequently, a lattice structure for E in such a way that we can identify it as a Banach function space, at least regarding some local properties. General and concrete applications are shown, including the study of the notion of the pth power of a Banach space, the characterization of spaces of operators that are isomorphic to Banach lattices of multiplication operators, and the representation of certain spaces of homogeneous polynomials on Banach spaces as operators acting in function spaces.

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