@article{Aguayo_Chandía_Ojeda_2017, title={Representation theorems of linear operators on p-adic function spaces}, volume={23}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1562}, DOI={10.4067/S0716-09172004000200003}, abstractNote={<span class="fontstyle0">Let </span><span class="fontstyle2">X </span><span class="fontstyle0">be a 0-dimensional Hausforff topological space, </span><span class="fontstyle2">E, F </span><span class="fontstyle0">nonarchimedean Banach spaces and </span><span class="fontstyle2">C<sub>b</sub></span><span class="fontstyle4">(</span><span class="fontstyle2">X, E</span><span class="fontstyle4">) </span><span class="fontstyle0">the space of all continuous </span><span class="fontstyle2">E</span><span class="fontstyle0">-valued functions on </span><span class="fontstyle2">X </span><span class="fontstyle0">provided with two strict topologies. In this paper we show that every </span><span class="fontstyle2">F</span><span class="fontstyle5">-</span><span class="fontstyle0">valued linear operator which is strictly continuous can be represented by a certain </span><span class="fontstyle5">L</span><span class="fontstyle4">(</span><span class="fontstyle2">E, F </span><span class="fontstyle4">)</span><span class="fontstyle5">-</span><span class="fontstyle0">valued measure defined on the ring of all clopen subsets of </span><span class="fontstyle2">X.</span>}, number={2}, journal={Proyecciones (Antofagasta, On line)}, author={Aguayo, José and Chandía, Elsa and Ojeda, Jacqueline}, year={2017}, month={May}, pages={97-110} }