You seem confused by the difference between attributes and child elements. MedLineJournalInfo is an element, Owner is an attribute. So you want:
<xsl:template match="//PubmedArticle/MedlineCitation/*[name()!='MedlineJournalInfo'] />
<xsl:template match="//PubmedArticle/MedlineCitation/@*[name()!='Owner'] />
Except that this is far more complicated than it needs to be. Better to use the identity template (as given by Sam) and then define empty template rules for the nodes you want to delete, namely match="PMID" and match="@Status".
Michael Kay
http://www.saxonica.com/
Author, XSLT Programmer's Reference and XPath 2.0 Programmer's Reference