Skip to main content
dr
Source Link

Let $p\in [1,\infty)\setminus\{2\}$. Suppose $(e_n)$ is a basic sequence in $\ell_p$ (or $L_p$) equivalent to the canonical basis of $\ell_p$ ($L_p$). Is there a subsequence $(e_{n_k})$ such that $[e_{n_k}]$ is complemented?

Let $p\in [1,\infty)\setminus\{2\}$. Suppose $(e_n)$ is a basic sequence in $\ell_p$ equivalent to the canonical basis. Is there a subsequence $(e_{n_k})$ such that $[e_{n_k}]$ is complemented?

Let $p\in [1,\infty)\setminus\{2\}$. Suppose $(e_n)$ is a basic sequence in $\ell_p$ (or $L_p$) equivalent to the basis of $\ell_p$ ($L_p$). Is there a subsequence $(e_{n_k})$ such that $[e_{n_k}]$ is complemented?

Source Link

Basic sequences in $\ell_p$

Let $p\in [1,\infty)\setminus\{2\}$. Suppose $(e_n)$ is a basic sequence in $\ell_p$ equivalent to the canonical basis. Is there a subsequence $(e_{n_k})$ such that $[e_{n_k}]$ is complemented?