000170292 001__ 170292 000170292 005__ 20260410165451.0 000170292 0247_ $$2doi$$a10.1016/j.jfa.2026.111492 000170292 0248_ $$2sideral$$a148821 000170292 037__ $$aART-2026-148821 000170292 041__ $$aeng 000170292 100__ $$0(orcid)0000-0001-8546-5883$$aOliva-Maza, J.$$uUniversidad de Zaragoza 000170292 245__ $$aOn similarity to contraction semigroups and tensor products, I 000170292 260__ $$c2026 000170292 5203_ $$aIn the context of finite tensor products of Hilbert spaces, we prove that similarity of a tensor product of operator semigroups to a contraction semigroup is equivalent to the corresponding similarity for each factor, after an appropriate rescaling. A similar result holds with contractivity replaced by quasi-contractivity. This splitting phenomenon allows us to construct new and, in a sense, the strongest possible examples of C_0-semigroups not similar to contractions, thus completing an important chapter of the theory. We also address the discrete setting and relate it to our results. 000170292 536__ $$9info:eu-repo/grantAgreement/ES/AEI/AEI PID2022-137294NB-I00$$9info:eu-repo/grantAgreement/ES/DGA/E48-23R 000170292 540__ $$9info:eu-repo/semantics/closedAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000170292 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000170292 700__ $$aTomilov, Y. 000170292 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000170292 773__ $$g(2026), 111492 [37 pp.]$$pJ. funct. anal.$$tJOURNAL OF FUNCTIONAL ANALYSIS$$x0022-1236 000170292 8564_ $$s968668$$uhttps://zaguan.unizar.es/record/170292/files/texto_completo.pdf$$yVersión publicada$$zinfo:eu-repo/date/embargoEnd/2028-03-31 000170292 8564_ $$s1003105$$uhttps://zaguan.unizar.es/record/170292/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada$$zinfo:eu-repo/date/embargoEnd/2028-03-31 000170292 909CO $$ooai:zaguan.unizar.es:170292$$particulos$$pdriver 000170292 951__ $$a2026-04-10-13:45:59 000170292 980__ $$aARTICLE