Results 21 to 30 of about 884 (163)
Existence of solutions of impulsive boundary value problems for singular fractional differential systems [PDF]
A class of impulsive boundary value problems of fractional differential systems is studied. Banach spaces are constructed and nonlinear operators defined on these Banach spaces. Sufficient conditions are given for the existence of solutions of this class
Yuji Liu
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Invertible Operators on Certain Banach Spaces [PDF]
It has long been the practice in the theory of Hilbert spaces to use the Fourier series expansion (i.e. the Levy inversion formula) for the resolution of the identity associated with a unitary operator to obtain results for this operator, and hence for any power bounded invertible operator on such spaces since they are necessarily isomorphic to unitary
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Factorization of Operators on Banach Space [PDF]
In this paper it is shown that if D D and E E are continuous linear operators on a Banach space X X , then the following are equivalent: (i) B B is a right factor of A A , (ii) B B majorizes A A and (iii) the range of
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Paranormal operators on Banach spaces [PDF]
In this note we show that a paranormal operator T on a Banach space satisfies Weyl's theorem. This is accomplished by showing that(i) every isolated point of its spectrum is an eigenvalue and the corresponding eigenspace has invariant complement,(ii) for α ≠ 0, Ker(T-α) ⊥ Ker (T-β) (in the sense of Birkhoff) whenever β ≠ α.
Chourasia, N. N., Ramanujan, P. B.
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Composition Operators and Multiplication Operators on Weighted Spaces of Analytic Functions
Let V be an arbitrary system of weights on an open connected subset G of ℂN(N≥1) and let B(E) be the Banach algebra of all bounded linear operators on a Banach space E.
J. S. Manhas
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Pseudospectra of the direct sum of linear operators in ultrametric Banach spaces
In this paper, a characterization of essential pseudospectra of bounded linear operators on ultrametric Banach spaces over a spherically complete field was given and the notions of pseudospectra and condition pseudospectra of the direct sum of linear ...
J. Ettayb
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A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach Spaces
By introducing the concept of L-limited sets and then L-limited Banach spaces, we obtain some characterizations of it with respect to some well-known geometric properties of Banach spaces, such as Grothendieck property, Gelfand-Phillips property, and ...
M. Salimi, S. M. Moshtaghioun
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Hypercyclic operators on Lipschitz spaces [PDF]
We consider hypercyclic operators on free Banach spaces and little Lipschitz spaces which are some kind of generalizations of shift operators and composition operators respectively.
M. V. Dubey +2 more
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Banach Lattice Structures and Concavifications in Banach Spaces
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 ...
Lucia Agud +3 more
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Accessible operators on ultraproducts of Banach spaces
We address a question by Henry Towsner about the possibility of representing linear operators between ultraproducts of Banach spaces by means of ultraproducts of nonlinear maps.
Félix Cabello Sánchez
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