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The first term is $\hat\beta$ itself (with a "T" missing, see comment of @Peter), the second term is the objective function that is minimised by it (so the second one is not $\hat\beta$, although required to define it). In fact it's not exactly the objective function, as factor $\lambda$ is missing before the sum (it's the objective function for $\lambda=1$).

The first term is $\hat\beta$ itself, the second term is the objective function that is minimised by it (so the second one is not $\hat\beta$, although required to define it). In fact it's not exactly the objective function, as factor $\lambda$ is missing before the sum (it's the objective function for $\lambda=1$).

The first term is $\hat\beta$ itself, the second term is the objective function that is minimised by it (so the second one is not $\hat\beta$, although required to define it). In fact it's not exactly the objective function, as factor $\lambda$ is missing before the sum (it's the objective function for $\lambda=1$).

The first term is $\hat\beta$ itself (with a "T" missing, see comment of @Peter), the second term is the objective function that is minimised by it (so the second one is not $\hat\beta$, although required to define it). In fact it's not exactly the objective function, as factor $\lambda$ is missing before the sum (it's the objective function for $\lambda=1$).

The first term is $\hat\beta$ itself, the second term is the objective function that is minimised by it (so the second one is not $\hat\beta$, although required to define it). In fact it's not exactly the objective function, as $\lambda$ is missing.

The first term is $\hat\beta$ itself, the second term is the objective function that is minimised by it (so the second one is not $\hat\beta$, although required to define it). In fact it's not exactly the objective function, as factor $\lambda$ is missing before the sum (it's the objective function for $\lambda=1$).