the namespace axis is your friend:

<xsl:stylesheet
   version="1.0"
   xmlns:xsl="http://www.w3.org/1999/XSL/Transform"
>

<xsl:variable name="ns" select="document/namespace::*"/>

<xsl:template match="document">
<xsl:for-each select="$ns">
"<xsl:value-of select="name()"/>" is <xsl:value-of select="."/>
</xsl:for-each>
<xsl:apply-templates select="/*/*"/>
</xsl:template>

<xsl:template match="entry">
zzz[<xsl:value-of select="."/>]
</xsl:template>

<xsl:template
match="entry[substring-before(@type,':')=name(/document/namespace::*[.='http://somewhere.com/'])]">
ABC![<xsl:value-of select="."/>]
</xsl:template>


</xsl:stylesheet>


$ saxon ns.xml ns.xsl
<?xml version="1.0" encoding="utf-8"?>
"xml" is http://www.w3.org/XML/1998/namespace
"providerns1" is http://somewhere.com/
"providerns2" is http://sometimes.com/
ABC![test]

ABC![test]

zzz[test]

zzz[test]

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