{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,3]],"date-time":"2025-12-03T17:58:14Z","timestamp":1764784694577,"version":"build-2065373602"},"reference-count":18,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2021,7,8]],"date-time":"2021-07-08T00:00:00Z","timestamp":1625702400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>A local convex space E is said to be distinguished if its strong dual E\u03b2\u2032 has the topology \u03b2(E\u2032,(E\u03b2\u2032)\u2032), i.e., if E\u03b2\u2032 is barrelled. The distinguished property of the local convex space CpX of real-valued functions on a Tychonoff space X, equipped with the pointwise topology on X, has recently aroused great interest among analysts and Cp-theorists, obtaining very interesting properties and nice characterizations. For instance, it has recently been obtained that a space CpX is distinguished if and only if any function f\u2208RX belongs to the pointwise closure of a pointwise bounded set in CX. The extensively studied distinguished properties in the injective tensor products CpX\u2297\u03b5E and in Cp(X,E) contrasts with the few distinguished properties of injective tensor products related to the dual space LpX of CpX endowed with the weak* topology, as well as to the weak* dual of Cp(X,E). To partially fill this gap, some distinguished properties in the injective tensor product space LpX\u2297\u03b5E are presented and a characterization of the distinguished property of the weak* dual of Cp(X,E) for wide classes of spaces X and E is provided.<\/jats:p>","DOI":"10.3390\/axioms10030151","type":"journal-article","created":{"date-parts":[[2021,7,8]],"date-time":"2021-07-08T04:32:49Z","timestamp":1625718769000},"page":"151","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Distinguished Property in Tensor Products and Weak* Dual Spaces"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1655-2320","authenticated-orcid":false,"given":"Salvador","family":"L\u00f3pez-Alfonso","sequence":"first","affiliation":[{"name":"Department of Architectural Constructions, Universitat Polit\u00e8cnica de Val\u00e8ncia, 46022 Valencia, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3918-1713","authenticated-orcid":false,"given":"Manuel","family":"L\u00f3pez-Pellicer","sequence":"additional","affiliation":[{"name":"Emeritus and IUMPA, Universitat Polit\u00e8cnica de Val\u00e8ncia, 46022 Valencia, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3388-5135","authenticated-orcid":false,"given":"Santiago","family":"Moll-L\u00f3pez","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Universitat Polit\u00e8cnica de Val\u00e8ncia, 46022 Valencia, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,7,8]]},"reference":[{"key":"ref_1","first-page":"1337","article-title":"Metrizable bounded sets in C(X) spaces and distinguished Cp(X) spaces","volume":"26","author":"Ferrando","year":"2019","journal-title":"J. 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