article · Transactions of the American Mathematical Society · 1972
Bounded linear operators on Banach function spaces of vector-valued functions
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Abstract
Representations of bounded linear operators on Banach function spaces of vector-valued functions to Banach spaces are given in terms of operator-valued measures. Then spaces whose duals are Banach function spaces are characterized. With this last information, reflexivity of this type of space is discussed. Finally, the structure of compact operators on these spaces is studied, and an observation is made on the approximation problem in this context.
Cite this paper
Gretsky, N. E., & Uhl, J. J. (1972). Bounded linear operators on Banach function spaces of vector-valued functions. Transactions of the American Mathematical Society, 167(0), 263–277. https://doi.org/10.1090/s0002-9947-1972-0295110-3
Gretsky, Neil E., and J. J. Uhl. “Bounded linear operators on Banach function spaces of vector-valued functions.” Transactions of the American Mathematical Society, vol. 167, no. 0, 1972, pp. 263–77, https://doi.org/10.1090/s0002-9947-1972-0295110-3.
Gretsky, Neil E., and J. J. Uhl. 1972. “Bounded linear operators on Banach function spaces of vector-valued functions.” Transactions of the American Mathematical Society 167 (0): 263–77. https://doi.org/10.1090/s0002-9947-1972-0295110-3.
Gretsky, N.E. and Uhl, J.J. (1972) ‘Bounded linear operators on Banach function spaces of vector-valued functions’, Transactions of the American Mathematical Society, 167(0), pp. 263–277. Available at: https://doi.org/10.1090/s0002-9947-1972-0295110-3.
@article{gretsky1972bounded,
title = {{Bounded linear operators on Banach function spaces of vector-valued functions}},
author = {Gretsky, Neil E. and Uhl, J. J.},
journal = {Transactions of the American Mathematical Society},
volume = {167},
number = {0},
pages = {263--277},
year = {1972},
doi = {10.1090/s0002-9947-1972-0295110-3}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.