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from lxml import etree
root = etree.Element("gpx")
root.set("version","1.1")
root.set("creator","http://www.myoggradio.org")
root.set("xmlns","http://www.topografix.com/GPX/1/1")
root.set("xmlns:xsi","http://www.w3.org/2001/XMLSchema-instance")
root.set("xsi:schemaLocation","http://www.topografix.com/GPX/1/1 http://www.topografix.com/GPX/1/1/gpx.xsd")
metadata = etree.Element("metadata")
root.append(metadata)
name = etree.Element("name")
name.text = "Ein GPX Track pywv Alpha Test"
metadata.append(name)
trk = etree.Element("trk")
root.append(trk)
trkseg = etree.Element("trkseg")
trk.append(trkseg)
trkpt = etree.Element("trkpt")
trkpt.set("lat","7.2")
trkpt.set("lon","51.9")
ele = etree.Element("ele")
ele.text = "0.0"
trkpt.append(ele)
tim = etree.Element("tim")
tim.text=("Zeitstempel")
trkpt.append(tim)
trkseg.append(trkpt)
print(etree.tostring(root,encoding="UTF-8"))

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Traceback (most recent call last):
  File "C:\Anwendungen\python\xml\first.py", line 6, in <module>
    root.set("xmlns:xsi","http://www.w3.org/2001/XMLSchema-instance")
  File "src\lxml\etree.pyx", line 816, in lxml.etree._Element.set
  File "src\lxml\apihelpers.pxi", line 585, in lxml.etree._setAttributeValue
  File "src\lxml\apihelpers.pxi", line 1744, in lxml.etree._attributeValidOrRaise
ValueError: Invalid attribute name 'xmlns:xsi'

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from lxml import etree
GPX_NS = "{http://www.topografix.com/GPX/1/1}"

root = etree.Element(f"{GPX_NS}gpx", version="1.1", creator="http://www.myoggradio.org", nsmap={None: GPX_NS[1:-1]})
root.set("{http://www.w3.org/2001/XMLSchema-instance}schemaLocation", f"{GPX_NS[1:-1]} http://www.topografix.com/GPX/1/1/gpx.xsd")
metadata = etree.SubElement(root, f"{GPX_NS}metadata")
etree.SubElement(metadata, f"{GPX_NS}name").text = "Ein GPX Track pywv Alpha Test"
track = etree.SubElement(root, f"{GPX_NS}trk")
tracksegment = etree.SubElement(track, f"{GPX_NS}trkseg")
trackpoint = etree.SubElement(tracksegment, f"{GPX_NS}trkpt", lat="7.2", lon="51.9")
etree.SubElement(trackpoint, f"{GPX_NS}ele").text = "0.0"
etree.SubElement(trackpoint, f"{GPX_NS}tim").text = "Zeitstempel"
print(etree.tostring(root, encoding="UTF-8"))

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from lxml.builder import ElementMaker
GPX_NS = "http://www.topografix.com/GPX/1/1"

E = ElementMaker(namespace=GPX_NS, nsmap={None: GPX_NS})
root = E.gpx(version="1.1", creator="http://www.myoggradio.org")
root.set("{http://www.w3.org/2001/XMLSchema-instance}schemaLocation", f"{GPX_NS} http://www.topografix.com/GPX/1/1/gpx.xsd")
root.append(E.metadata(E.name("Ein GPX Track pywv Alpha Test")))
root.append(E.trk(
    E.trkseg(
        E.trkpt(E.ele("0.0"), E.tim("Zeitstempel"), lat="7.2", lon="51.9")
    )
))