Tweaks.

src/OpenTelemetry.Api/Trace/TelemetrySpan.cs

@@ -25,7 +25,7 @@ namespace OpenTelemetry.Trace;
 /// <summary>
 /// Span represents a single operation within a trace.
 /// </summary>
-/// <remarks>TelemetrySpan is a wrapper around <see cref="Activity"/> class.</remarks>
+/// <remarks>TelemetrySpan is a wrapper around <see cref="System.Diagnostics.Activity"/> class.</remarks>
 public class TelemetrySpan : IDisposable
 {
     internal static readonly TelemetrySpan NoopInstance = new(null);

src/OpenTelemetry.Api/Trace/Tracer.cs

@@ -25,7 +25,7 @@ namespace OpenTelemetry.Trace;
 /// <summary>
 /// Tracer is the class responsible for creating <see cref="TelemetrySpan"/>.
 /// </summary>
-/// <remarks>Tracer is a wrapper around <see cref="ActivitySource"/> class.</remarks>
+/// <remarks>Tracer is a wrapper around <see cref="System.Diagnostics.ActivitySource"/> class.</remarks>
 public class Tracer
 {
     internal static readonly Tracer NoopInstance = new(null);

src/OpenTelemetry.Api/Trace/TracerProvider.cs

@@ -44,12 +44,5 @@ protected TracerProvider()
     /// <param name="version">Version of the instrumentation library.</param>
     /// <returns>Tracer instance.</returns>
     public Tracer GetTracer(string name, string? version = null)
-    {
-        if (string.IsNullOrEmpty(name))
-        {
-            return Tracer.NoopInstance;
-        }
-
-        return new(new ActivitySource(name, version));
-    }
+        => new(new ActivitySource(name ?? string.Empty, version));
 }