XSLT to change namespace prefix

I am trying to convert attributes into elements, along with this, I want to change namespace prefix of my XML code. XML code:

<lm:GetInvoiceList xmlns:lm="http://www.w3.org"><lm:Response><lm:Bill><lm:BillStatusCode typecode="1">type description</lm:BillStatusCode><lm:EBillProcessStatusCode typecode="2">type description</lm:EBillProcessStatusCode><lm:BillCycleCode typecode="1">type description</lm:BillCycleCode><lm:BillActivityCode typecode="3">type description</lm:BillActivityCode><lm:ToDate>...</lm:ToDate></lm:Bill></lm:Response></lm:GetInvoiceList>

I have this XSLT code:

<xsl:stylesheet version="1.0" xmlns:xsl="http://www.w3.org/1999/XSL/Transform"><xsl:output omit-xml-declaration="yes" indent="yes"/><xsl:strip-space elements="*"/><xsl:template match="node()"><xsl:copy><xsl:apply-templates/></xsl:copy></xsl:template><xsl:template match="*[@*]"><xsl:copy><xsl:element name="ns:{name()}"><xsl:apply-templates select="node()"/></xsl:element><xsl:apply-templates select="@*"/></xsl:copy></xsl:template><xsl:template match="*|*[@*]"><xsl:element name="ns:{local-name()}" namespace="http://my.ns.uri"><xsl:copy-of select="namespace::*"/><xsl:apply-templates select="node()|@*"/></xsl:element></xsl:template><xsl:template match="@*"><xsl:element name="ns:{name()}" namespace="http://my.ns.uri"><xsl:copy-of select="namespace::*"/><xsl:value-of select="."/></xsl:element></xsl:template></xsl:stylesheet>

But I am not getting the desired output.

Expected Output:

<ns:GetInvoiceList xmlns:ns="http://my.ns.uri"><ns:Response><ns:Bill><ns:BillStatusCode><ns:BillStatusCode>type description</ns:BillStatusCode><ns:typecode>1</ns:typecode></ns:BillStatusCode><ns:EBillProcessStatusCode><ns:EBillProcessStatusCode>type description</ns:EBillProcessStatusCode><ns:typecode>2</ns:typecode></ns:EBillProcessStatusCode><ns:BillCycleCode><ns:BillCycleCode>type description</ns:BillCycleCode><ns:typecode>1</ns:typecode></ns:BillCycleCode><ns:BillActivityCode><ns:BillActivityCode>type description</ns:BillActivityCode><ns:typecode>3</ns:typecode></ns:BillActivityCode><ns:ToDate>...</ns:ToDate></ns:Bill></ns:Response></ns:GetInvoiceList>

Actual output:

<ns:GetInvoiceList xmlns:ns="http://my.ns.uri"><ns:Response><ns:Bill><ns:BillStatusCode><ns:typecode>1</ns:typecode>type description</ns:BillStatusCode><ns:EBillProcessStatusCode><ns:typecode>2</ns:typecode>type description</ns:EBillProcessStatusCode><ns:BillCycleCode><ns:typecode>1</ns:typecode>type description</ns:BillCycleCode><ns:BillActivityCode><ns:typecode>3</ns:typecode>type description</ns:BillActivityCode><ns:ToDate>...</ns:ToDate></ns:Bill></ns:Response></ns:GetInvoiceList>

Would Appreciate any help on this!