The question doesn't make sense, or alternatively it is true by definition.

A Hilbert Space is a complete inner product space - complete in the metric induced by the norm defined by the inner product over the space.

In other words an inner product space is a vector space with an inner product defined on it.

An inner product then defines a norm on the space, and every norm on a space induces a metric.

A Hilbert Space is thus also a complete metric space, simply where the metric is induced by the inner product.

no -- consider linear map sending entire source space to zero of target space

Inner Space - album - was created in 1973.

The duration of Destination Inner Space is 1.38 hours.

Destination Inner Space was created in 1966-05.