Around Schwenninger and Zwart's zero-two law for cosine families

作者：Chojnacki Wojciech^*

来源：ARCHIV DER MATHEMATIK, 2016, 106(6): 561-571.

DOI：10.1007/s00013-016-0898-y

• Cosine family
• Normed algebra
• Zero-two law
• Zero-one law

It is proved that for a cosine family in a normed algebra with a unity e, the following assertions hold: (1) If , then c(t) = e for every . (2) If , then . It is also shown that the two respective results, each specific for one of the assertions, are equivalent.

• 出版日期2016-6