Results 131 to 140 of about 4,758,376 (292)
Complemented subspaces of p-adic second dual Banach spaces
Let K be a non-archimedean non-trivially valued complete field. In this paper we study Banach spaces over K. Some of main results are as follows: (1) The Banach space BC((l∞)1) has an orthocomplemented subspace linearly homeomorphic to c0. (2) The Banach
Takemitsu Kiyosawa
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Single step methods for inhomogeneous linear differential equations in Banach space
Considenng the imtial-value problemjor the differential équation u(t) = Au(t) + J(t) in a Banach space X, where A générâtes a bounded semigroup on X, we analyze single step discretizations oj thejorm un+i = r{kA) un + k f qffcA) j(nk + z} k), J=I where k
P. Brenner, M. Crouzeix, V. Thomée
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Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
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A separable somewhat reflexive Banach space with nonseparable dual
An example is given of a separable Banach space X whose dual is not separable, but each infinite-dimensional subspace of X contains an infinite-dimensional subspace isomorphic to Hubert space.
R. C. James
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Uniform Asymptotic Stability of a PDE'S System Arising From a Flexible Robotics Model
ABSTRACT In this paper, we investigate the uniform asymptotic stability of a fourth‐order partial differential equation with a fading memory forcing term and boundary conditions arising from a flexible robotics model. To achieve this goal, the model is reformulated in an abstract framework using the C0$$ {C}_0 $$‐semigroup theory.
Tiziana Cardinali+2 more
wiley +1 more source
A description of the Stone space of Banach lattice C(K,E)
We give a topological description of the Stone space of C(K,E), Banach lattices of continuous functions from a compact Hausdorff space K into a Banach lattice E.
Zafer Ercan
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Analytic operations in real Banach spaces [PDF]
A. Alexiewicz, W. Orlicz
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ABSTRACT Bacteriophages, or phages (viruses of bacteria), play significant roles in shaping the diversity of bacterial communities within the human gut. A phage‐infected bacterial cell can either immediately undergo lysis (virulent/lytic infection) or enter a stable state within the host as a prophage (lysogeny) until a trigger event, called prophage ...
Hyacinthe M. Ndongmo Teytsa+3 more
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On approximate solutions of linear equations in Banach spaces [PDF]
Vlastimil Pták
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Weak sequential convergence in the dual of a Banach space does not imply norm convergence
We shall prove that for every infinite-,limensional Banach space E there is, a sequence in E' , the dual space, which tends to 0 in the weak topology a (E', E) but not in the norm topology. This is well known for separable or reflexive Banach spaces. See
Bengt Josefson
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